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Finding the Fourth Proportional to 7,816.65, 11,695.82 and 7,729.17

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Solution

The fourth proportional to 7,816.65, 11,695.82 and 7,729.17 is: 11,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.65 : 11,695.82 = 7,729.17 : x
  2. Step 2: Convert to fraction form
    7,816.65/11,695.82 = 7,729.17/x
  3. Step 3: Cross multiply
    7,816.65x = 11,695.82 × 7,729.17
  4. Step 4: Simplify right side
    7,816.65x = 90,398,942.42
  5. Step 5: Solve for x
    x = 90,398,942.42/7,816.65
  6. Step 6: Final answer
    x = 11,564.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.