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Finding the Fourth Proportional to 10,754.56, 14,819.52 and 7,760.80

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Solution

The fourth proportional to 10,754.56, 14,819.52 and 7,760.80 is: 10,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.56 : 14,819.52 = 7,760.80 : x
  2. Step 2: Convert to fraction form
    10,754.56/14,819.52 = 7,760.80/x
  3. Step 3: Cross multiply
    10,754.56x = 14,819.52 × 7,760.80
  4. Step 4: Simplify right side
    10,754.56x = 115,011,330.82
  5. Step 5: Solve for x
    x = 115,011,330.82/10,754.56
  6. Step 6: Final answer
    x = 10,694.19

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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.