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Finding the Fourth Proportional to 7,754.20, 10,700.42 and 4,217.32

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Solution

The fourth proportional to 7,754.20, 10,700.42 and 4,217.32 is: 5,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.20 : 10,700.42 = 4,217.32 : x
  2. Step 2: Convert to fraction form
    7,754.20/10,700.42 = 4,217.32/x
  3. Step 3: Cross multiply
    7,754.20x = 10,700.42 × 4,217.32
  4. Step 4: Simplify right side
    7,754.20x = 45,127,095.27
  5. Step 5: Solve for x
    x = 45,127,095.27/7,754.20
  6. Step 6: Final answer
    x = 5,819.70

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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.