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Finding the Fourth Proportional to 7,730.66, 10,666.50 and 5,217.42

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Solution

The fourth proportional to 7,730.66, 10,666.50 and 5,217.42 is: 7,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.66 : 10,666.50 = 5,217.42 : x
  2. Step 2: Convert to fraction form
    7,730.66/10,666.50 = 5,217.42/x
  3. Step 3: Cross multiply
    7,730.66x = 10,666.50 × 5,217.42
  4. Step 4: Simplify right side
    7,730.66x = 55,651,610.43
  5. Step 5: Solve for x
    x = 55,651,610.43/7,730.66
  6. Step 6: Final answer
    x = 7,198.82

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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.