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Finding the Fourth Proportional to 10,766.62, 14,856.62 and 6,287.12

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Solution

The fourth proportional to 10,766.62, 14,856.62 and 6,287.12 is: 8,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.62 : 14,856.62 = 6,287.12 : x
  2. Step 2: Convert to fraction form
    10,766.62/14,856.62 = 6,287.12/x
  3. Step 3: Cross multiply
    10,766.62x = 14,856.62 × 6,287.12
  4. Step 4: Simplify right side
    10,766.62x = 93,405,302.73
  5. Step 5: Solve for x
    x = 93,405,302.73/10,766.62
  6. Step 6: Final answer
    x = 8,675.45

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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.