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Finding the Fourth Proportional to 11,646.70, 16,074.73 and 7,402.71

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Solution

The fourth proportional to 11,646.70, 16,074.73 and 7,402.71 is: 10,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.70 : 16,074.73 = 7,402.71 : x
  2. Step 2: Convert to fraction form
    11,646.70/16,074.73 = 7,402.71/x
  3. Step 3: Cross multiply
    11,646.70x = 16,074.73 × 7,402.71
  4. Step 4: Simplify right side
    11,646.70x = 118,996,487.32
  5. Step 5: Solve for x
    x = 118,996,487.32/11,646.70
  6. Step 6: Final answer
    x = 10,217.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.