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Finding the Fourth Proportional to 7,773,846.40, 11,649,808.44 and 3,670,789.84

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Solution

The fourth proportional to 7,773,846.40, 11,649,808.44 and 3,670,789.84 is: 5,501,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773,846.40 : 11,649,808.44 = 3,670,789.84 : x
  2. Step 2: Convert to fraction form
    7,773,846.40/11,649,808.44 = 3,670,789.84/x
  3. Step 3: Cross multiply
    7,773,846.40x = 11,649,808.44 × 3,670,789.84
  4. Step 4: Simplify right side
    7,773,846.40x = 42,763,998,459,498.24
  5. Step 5: Solve for x
    x = 42,763,998,459,498.24/7,773,846.40
  6. Step 6: Final answer
    x = 5,501,008.93

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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.