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Finding the Fourth Proportional to 7,966.38, 11,952 and 4,073.52

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Solution

The fourth proportional to 7,966.38, 11,952 and 4,073.52 is: 6,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.38 : 11,952 = 4,073.52 : x
  2. Step 2: Convert to fraction form
    7,966.38/11,952 = 4,073.52/x
  3. Step 3: Cross multiply
    7,966.38x = 11,952 × 4,073.52
  4. Step 4: Simplify right side
    7,966.38x = 48,686,711.04
  5. Step 5: Solve for x
    x = 48,686,711.04/7,966.38
  6. Step 6: Final answer
    x = 6,111.52

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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.