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Finding the Fourth Proportional to 10,522.31, 15,780.72 and 3,124.78

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Solution

The fourth proportional to 10,522.31, 15,780.72 and 3,124.78 is: 4,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.31 : 15,780.72 = 3,124.78 : x
  2. Step 2: Convert to fraction form
    10,522.31/15,780.72 = 3,124.78/x
  3. Step 3: Cross multiply
    10,522.31x = 15,780.72 × 3,124.78
  4. Step 4: Simplify right side
    10,522.31x = 49,311,250.51
  5. Step 5: Solve for x
    x = 49,311,250.51/10,522.31
  6. Step 6: Final answer
    x = 4,686.35

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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.