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Finding the Fourth Proportional to 8,729.40, 13,034.96 and 6,859.53

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Solution

The fourth proportional to 8,729.40, 13,034.96 and 6,859.53 is: 10,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.40 : 13,034.96 = 6,859.53 : x
  2. Step 2: Convert to fraction form
    8,729.40/13,034.96 = 6,859.53/x
  3. Step 3: Cross multiply
    8,729.40x = 13,034.96 × 6,859.53
  4. Step 4: Simplify right side
    8,729.40x = 89,413,716.32
  5. Step 5: Solve for x
    x = 89,413,716.32/8,729.40
  6. Step 6: Final answer
    x = 10,242.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.