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Finding the Fourth Proportional to 11,398.96, 15,718.17 and 7,412.68

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Solution

The fourth proportional to 11,398.96, 15,718.17 and 7,412.68 is: 10,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.96 : 15,718.17 = 7,412.68 : x
  2. Step 2: Convert to fraction form
    11,398.96/15,718.17 = 7,412.68/x
  3. Step 3: Cross multiply
    11,398.96x = 15,718.17 × 7,412.68
  4. Step 4: Simplify right side
    11,398.96x = 116,513,770.14
  5. Step 5: Solve for x
    x = 116,513,770.14/11,398.96
  6. Step 6: Final answer
    x = 10,221.44

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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.