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Finding the Fourth Proportional to 10,891.14, 15,024.23 and 7,116.51

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Solution

The fourth proportional to 10,891.14, 15,024.23 and 7,116.51 is: 9,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.14 : 15,024.23 = 7,116.51 : x
  2. Step 2: Convert to fraction form
    10,891.14/15,024.23 = 7,116.51/x
  3. Step 3: Cross multiply
    10,891.14x = 15,024.23 × 7,116.51
  4. Step 4: Simplify right side
    10,891.14x = 106,920,083.04
  5. Step 5: Solve for x
    x = 106,920,083.04/10,891.14
  6. Step 6: Final answer
    x = 9,817.16

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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.