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Finding the Fourth Proportional to 10,529.87, 15,781.17 and 4,282.63

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Solution

The fourth proportional to 10,529.87, 15,781.17 and 4,282.63 is: 6,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.87 : 15,781.17 = 4,282.63 : x
  2. Step 2: Convert to fraction form
    10,529.87/15,781.17 = 4,282.63/x
  3. Step 3: Cross multiply
    10,529.87x = 15,781.17 × 4,282.63
  4. Step 4: Simplify right side
    10,529.87x = 67,584,888.68
  5. Step 5: Solve for x
    x = 67,584,888.68/10,529.87
  6. Step 6: Final answer
    x = 6,418.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.