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Finding the Fourth Proportional to 11,462.71, 17,116.45 and 9,096.15

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Solution

The fourth proportional to 11,462.71, 17,116.45 and 9,096.15 is: 13,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.71 : 17,116.45 = 9,096.15 : x
  2. Step 2: Convert to fraction form
    11,462.71/17,116.45 = 9,096.15/x
  3. Step 3: Cross multiply
    11,462.71x = 17,116.45 × 9,096.15
  4. Step 4: Simplify right side
    11,462.71x = 155,693,773.93
  5. Step 5: Solve for x
    x = 155,693,773.93/11,462.71
  6. Step 6: Final answer
    x = 13,582.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.