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Finding the Fourth Proportional to 10,702.61, 14,770.71 and 6,165.45

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Solution

The fourth proportional to 10,702.61, 14,770.71 and 6,165.45 is: 8,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.61 : 14,770.71 = 6,165.45 : x
  2. Step 2: Convert to fraction form
    10,702.61/14,770.71 = 6,165.45/x
  3. Step 3: Cross multiply
    10,702.61x = 14,770.71 × 6,165.45
  4. Step 4: Simplify right side
    10,702.61x = 91,068,073.97
  5. Step 5: Solve for x
    x = 91,068,073.97/10,702.61
  6. Step 6: Final answer
    x = 8,508.96

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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.