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Finding the Fourth Proportional to 10,702.46, 14,766.10 and 6,225.39

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Solution

The fourth proportional to 10,702.46, 14,766.10 and 6,225.39 is: 8,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.46 : 14,766.10 = 6,225.39 : x
  2. Step 2: Convert to fraction form
    10,702.46/14,766.10 = 6,225.39/x
  3. Step 3: Cross multiply
    10,702.46x = 14,766.10 × 6,225.39
  4. Step 4: Simplify right side
    10,702.46x = 91,924,715.72
  5. Step 5: Solve for x
    x = 91,924,715.72/10,702.46
  6. Step 6: Final answer
    x = 8,589.12

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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.