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Finding the Fourth Proportional to 11,287.14, 15,566.10 and 7,304.10

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Solution

The fourth proportional to 11,287.14, 15,566.10 and 7,304.10 is: 10,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.14 : 15,566.10 = 7,304.10 : x
  2. Step 2: Convert to fraction form
    11,287.14/15,566.10 = 7,304.10/x
  3. Step 3: Cross multiply
    11,287.14x = 15,566.10 × 7,304.10
  4. Step 4: Simplify right side
    11,287.14x = 113,696,351.01
  5. Step 5: Solve for x
    x = 113,696,351.01/11,287.14
  6. Step 6: Final answer
    x = 10,073.09

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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.