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Finding the Fourth Proportional to 10,321.52, 15,482.28 and 7,257.20

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Solution

The fourth proportional to 10,321.52, 15,482.28 and 7,257.20 is: 10,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.52 : 15,482.28 = 7,257.20 : x
  2. Step 2: Convert to fraction form
    10,321.52/15,482.28 = 7,257.20/x
  3. Step 3: Cross multiply
    10,321.52x = 15,482.28 × 7,257.20
  4. Step 4: Simplify right side
    10,321.52x = 112,358,002.42
  5. Step 5: Solve for x
    x = 112,358,002.42/10,321.52
  6. Step 6: Final answer
    x = 10,885.80

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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.