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Finding the Fourth Proportional to 11,472.30, 15,832.53 and 6,436.87

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Solution

The fourth proportional to 11,472.30, 15,832.53 and 6,436.87 is: 8,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.30 : 15,832.53 = 6,436.87 : x
  2. Step 2: Convert to fraction form
    11,472.30/15,832.53 = 6,436.87/x
  3. Step 3: Cross multiply
    11,472.30x = 15,832.53 × 6,436.87
  4. Step 4: Simplify right side
    11,472.30x = 101,911,897.80
  5. Step 5: Solve for x
    x = 101,911,897.80/11,472.30
  6. Step 6: Final answer
    x = 8,883.30

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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.