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Finding the Fourth Proportional to 11,436.53, 15,781.13 and 6,400.05

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Solution

The fourth proportional to 11,436.53, 15,781.13 and 6,400.05 is: 8,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.53 : 15,781.13 = 6,400.05 : x
  2. Step 2: Convert to fraction form
    11,436.53/15,781.13 = 6,400.05/x
  3. Step 3: Cross multiply
    11,436.53x = 15,781.13 × 6,400.05
  4. Step 4: Simplify right side
    11,436.53x = 100,999,953.88
  5. Step 5: Solve for x
    x = 100,999,953.88/11,436.53
  6. Step 6: Final answer
    x = 8,831.35

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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.