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Finding the Fourth Proportional to 10,403.46, 15,584.88 and 9,872.10

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Solution

The fourth proportional to 10,403.46, 15,584.88 and 9,872.10 is: 14,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.46 : 15,584.88 = 9,872.10 : x
  2. Step 2: Convert to fraction form
    10,403.46/15,584.88 = 9,872.10/x
  3. Step 3: Cross multiply
    10,403.46x = 15,584.88 × 9,872.10
  4. Step 4: Simplify right side
    10,403.46x = 153,855,493.85
  5. Step 5: Solve for x
    x = 153,855,493.85/10,403.46
  6. Step 6: Final answer
    x = 14,788.88

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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.