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Finding the Fourth Proportional to 10,061.86, 13,885.76 and 6,702.42

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Solution

The fourth proportional to 10,061.86, 13,885.76 and 6,702.42 is: 9,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.86 : 13,885.76 = 6,702.42 : x
  2. Step 2: Convert to fraction form
    10,061.86/13,885.76 = 6,702.42/x
  3. Step 3: Cross multiply
    10,061.86x = 13,885.76 × 6,702.42
  4. Step 4: Simplify right side
    10,061.86x = 93,068,195.54
  5. Step 5: Solve for x
    x = 93,068,195.54/10,061.86
  6. Step 6: Final answer
    x = 9,249.60

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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.