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Finding the Fourth Proportional to 11,436.01, 15,781.50 and 6,400.24

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Solution

The fourth proportional to 11,436.01, 15,781.50 and 6,400.24 is: 8,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.01 : 15,781.50 = 6,400.24 : x
  2. Step 2: Convert to fraction form
    11,436.01/15,781.50 = 6,400.24/x
  3. Step 3: Cross multiply
    11,436.01x = 15,781.50 × 6,400.24
  4. Step 4: Simplify right side
    11,436.01x = 101,005,348.11
  5. Step 5: Solve for x
    x = 101,005,348.11/11,436.01
  6. Step 6: Final answer
    x = 8,832.22

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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.