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Finding the Fourth Proportional to 11,472.93, 15,833.34 and 6,437.57

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Solution

The fourth proportional to 11,472.93, 15,833.34 and 6,437.57 is: 8,884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.93 : 15,833.34 = 6,437.57 : x
  2. Step 2: Convert to fraction form
    11,472.93/15,833.34 = 6,437.57/x
  3. Step 3: Cross multiply
    11,472.93x = 15,833.34 × 6,437.57
  4. Step 4: Simplify right side
    11,472.93x = 101,928,155.42
  5. Step 5: Solve for x
    x = 101,928,155.42/11,472.93
  6. Step 6: Final answer
    x = 8,884.23

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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.