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Finding the Fourth Proportional to 10,766.18, 14,856 and 6,229.64

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Solution

The fourth proportional to 10,766.18, 14,856 and 6,229.64 is: 8,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.18 : 14,856 = 6,229.64 : x
  2. Step 2: Convert to fraction form
    10,766.18/14,856 = 6,229.64/x
  3. Step 3: Cross multiply
    10,766.18x = 14,856 × 6,229.64
  4. Step 4: Simplify right side
    10,766.18x = 92,547,531.84
  5. Step 5: Solve for x
    x = 92,547,531.84/10,766.18
  6. Step 6: Final answer
    x = 8,596.13

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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.