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Finding the Fourth Proportional to 7,871.84, 11,807.36 and 1,948.69

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Solution

The fourth proportional to 7,871.84, 11,807.36 and 1,948.69 is: 2,922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.84 : 11,807.36 = 1,948.69 : x
  2. Step 2: Convert to fraction form
    7,871.84/11,807.36 = 1,948.69/x
  3. Step 3: Cross multiply
    7,871.84x = 11,807.36 × 1,948.69
  4. Step 4: Simplify right side
    7,871.84x = 23,008,815.58
  5. Step 5: Solve for x
    x = 23,008,815.58/7,871.84
  6. Step 6: Final answer
    x = 2,922.93

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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.