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Finding the Fourth Proportional to 7,777,282.60, 11,665,923.90 and 4,940,597.80

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Solution

The fourth proportional to 7,777,282.60, 11,665,923.90 and 4,940,597.80 is: 7,410,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777,282.60 : 11,665,923.90 = 4,940,597.80 : x
  2. Step 2: Convert to fraction form
    7,777,282.60/11,665,923.90 = 4,940,597.80/x
  3. Step 3: Cross multiply
    7,777,282.60x = 11,665,923.90 × 4,940,597.80
  4. Step 4: Simplify right side
    7,777,282.60x = 57,636,637,955,307.42
  5. Step 5: Solve for x
    x = 57,636,637,955,307.42/7,777,282.60
  6. Step 6: Final answer
    x = 7,410,896.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.