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Finding the Fourth Proportional to 10,697.66, 14,766.65 and 8,052.71

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Solution

The fourth proportional to 10,697.66, 14,766.65 and 8,052.71 is: 11,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.66 : 14,766.65 = 8,052.71 : x
  2. Step 2: Convert to fraction form
    10,697.66/14,766.65 = 8,052.71/x
  3. Step 3: Cross multiply
    10,697.66x = 14,766.65 × 8,052.71
  4. Step 4: Simplify right side
    10,697.66x = 118,911,436.02
  5. Step 5: Solve for x
    x = 118,911,436.02/10,697.66
  6. Step 6: Final answer
    x = 11,115.65

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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.