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Finding the Fourth Proportional to 10,461.56, 15,754.20 and 7,560.14

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Solution

The fourth proportional to 10,461.56, 15,754.20 and 7,560.14 is: 11,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.56 : 15,754.20 = 7,560.14 : x
  2. Step 2: Convert to fraction form
    10,461.56/15,754.20 = 7,560.14/x
  3. Step 3: Cross multiply
    10,461.56x = 15,754.20 × 7,560.14
  4. Step 4: Simplify right side
    10,461.56x = 119,103,850.47
  5. Step 5: Solve for x
    x = 119,103,850.47/10,461.56
  6. Step 6: Final answer
    x = 11,384.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.