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Finding the Fourth Proportional to 10,348.80, 15,522.88 and 5,760.96

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Solution

The fourth proportional to 10,348.80, 15,522.88 and 5,760.96 is: 8,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.80 : 15,522.88 = 5,760.96 : x
  2. Step 2: Convert to fraction form
    10,348.80/15,522.88 = 5,760.96/x
  3. Step 3: Cross multiply
    10,348.80x = 15,522.88 × 5,760.96
  4. Step 4: Simplify right side
    10,348.80x = 89,426,690.76
  5. Step 5: Solve for x
    x = 89,426,690.76/10,348.80
  6. Step 6: Final answer
    x = 8,641.26

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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.