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Finding the Fourth Proportional to 7,729.62, 10,666.59 and 4,192.76

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Solution

The fourth proportional to 7,729.62, 10,666.59 and 4,192.76 is: 5,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.62 : 10,666.59 = 4,192.76 : x
  2. Step 2: Convert to fraction form
    7,729.62/10,666.59 = 4,192.76/x
  3. Step 3: Cross multiply
    7,729.62x = 10,666.59 × 4,192.76
  4. Step 4: Simplify right side
    7,729.62x = 44,722,451.89
  5. Step 5: Solve for x
    x = 44,722,451.89/7,729.62
  6. Step 6: Final answer
    x = 5,785.85

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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.