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Finding the Fourth Proportional to 10,766.40, 14,832.36 and 8,666.88

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Solution

The fourth proportional to 10,766.40, 14,832.36 and 8,666.88 is: 11,939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.40 : 14,832.36 = 8,666.88 : x
  2. Step 2: Convert to fraction form
    10,766.40/14,832.36 = 8,666.88/x
  3. Step 3: Cross multiply
    10,766.40x = 14,832.36 × 8,666.88
  4. Step 4: Simplify right side
    10,766.40x = 128,550,284.24
  5. Step 5: Solve for x
    x = 128,550,284.24/10,766.40
  6. Step 6: Final answer
    x = 11,939.95

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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.