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Finding the Fourth Proportional to 10,294.32, 15,432.84 and 4,142.64

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Solution

The fourth proportional to 10,294.32, 15,432.84 and 4,142.64 is: 6,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.32 : 15,432.84 = 4,142.64 : x
  2. Step 2: Convert to fraction form
    10,294.32/15,432.84 = 4,142.64/x
  3. Step 3: Cross multiply
    10,294.32x = 15,432.84 × 4,142.64
  4. Step 4: Simplify right side
    10,294.32x = 63,932,700.30
  5. Step 5: Solve for x
    x = 63,932,700.30/10,294.32
  6. Step 6: Final answer
    x = 6,210.48

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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.