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Finding the Fourth Proportional to 10,432.75, 14,397.21 and 6,241

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Solution

The fourth proportional to 10,432.75, 14,397.21 and 6,241 is: 8,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.75 : 14,397.21 = 6,241 : x
  2. Step 2: Convert to fraction form
    10,432.75/14,397.21 = 6,241/x
  3. Step 3: Cross multiply
    10,432.75x = 14,397.21 × 6,241
  4. Step 4: Simplify right side
    10,432.75x = 89,852,987.61
  5. Step 5: Solve for x
    x = 89,852,987.61/10,432.75
  6. Step 6: Final answer
    x = 8,612.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.