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Finding the Fourth Proportional to 7,007.31, 9,665.33 and 5,952.15

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Solution

The fourth proportional to 7,007.31, 9,665.33 and 5,952.15 is: 8,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.31 : 9,665.33 = 5,952.15 : x
  2. Step 2: Convert to fraction form
    7,007.31/9,665.33 = 5,952.15/x
  3. Step 3: Cross multiply
    7,007.31x = 9,665.33 × 5,952.15
  4. Step 4: Simplify right side
    7,007.31x = 57,529,464.20
  5. Step 5: Solve for x
    x = 57,529,464.20/7,007.31
  6. Step 6: Final answer
    x = 8,209.92

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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.