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Finding the Fourth Proportional to 11,932.59, 16,471.56 and 7,952.25

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Solution

The fourth proportional to 11,932.59, 16,471.56 and 7,952.25 is: 10,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.59 : 16,471.56 = 7,952.25 : x
  2. Step 2: Convert to fraction form
    11,932.59/16,471.56 = 7,952.25/x
  3. Step 3: Cross multiply
    11,932.59x = 16,471.56 × 7,952.25
  4. Step 4: Simplify right side
    11,932.59x = 130,985,963.01
  5. Step 5: Solve for x
    x = 130,985,963.01/11,932.59
  6. Step 6: Final answer
    x = 10,977.16

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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.