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Finding the Fourth Proportional to 10,711.66, 14,780.33 and 6,729.95

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Solution

The fourth proportional to 10,711.66, 14,780.33 and 6,729.95 is: 9,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.66 : 14,780.33 = 6,729.95 : x
  2. Step 2: Convert to fraction form
    10,711.66/14,780.33 = 6,729.95/x
  3. Step 3: Cross multiply
    10,711.66x = 14,780.33 × 6,729.95
  4. Step 4: Simplify right side
    10,711.66x = 99,470,918.83
  5. Step 5: Solve for x
    x = 99,470,918.83/10,711.66
  6. Step 6: Final answer
    x = 9,286.23

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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.