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Finding the Fourth Proportional to 10,468.61, 15,702.89 and 2,677.40

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Solution

The fourth proportional to 10,468.61, 15,702.89 and 2,677.40 is: 4,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.61 : 15,702.89 = 2,677.40 : x
  2. Step 2: Convert to fraction form
    10,468.61/15,702.89 = 2,677.40/x
  3. Step 3: Cross multiply
    10,468.61x = 15,702.89 × 2,677.40
  4. Step 4: Simplify right side
    10,468.61x = 42,042,825.78
  5. Step 5: Solve for x
    x = 42,042,825.78/10,468.61
  6. Step 6: Final answer
    x = 4,016.09

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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.