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Finding the Fourth Proportional to 10,324.64, 15,497.88 and 6,431.72

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Solution

The fourth proportional to 10,324.64, 15,497.88 and 6,431.72 is: 9,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.64 : 15,497.88 = 6,431.72 : x
  2. Step 2: Convert to fraction form
    10,324.64/15,497.88 = 6,431.72/x
  3. Step 3: Cross multiply
    10,324.64x = 15,497.88 × 6,431.72
  4. Step 4: Simplify right side
    10,324.64x = 99,678,024.75
  5. Step 5: Solve for x
    x = 99,678,024.75/10,324.64
  6. Step 6: Final answer
    x = 9,654.38

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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.