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Finding the Fourth Proportional to 11,472.30, 15,833.15 and 6,435.56

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Solution

The fourth proportional to 11,472.30, 15,833.15 and 6,435.56 is: 8,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.30 : 15,833.15 = 6,435.56 : x
  2. Step 2: Convert to fraction form
    11,472.30/15,833.15 = 6,435.56/x
  3. Step 3: Cross multiply
    11,472.30x = 15,833.15 × 6,435.56
  4. Step 4: Simplify right side
    11,472.30x = 101,895,242.49
  5. Step 5: Solve for x
    x = 101,895,242.49/11,472.30
  6. Step 6: Final answer
    x = 8,881.85

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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.