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Finding the Fourth Proportional to 10,781.44, 14,882.32 and 6,805.16

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Solution

The fourth proportional to 10,781.44, 14,882.32 and 6,805.16 is: 9,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.44 : 14,882.32 = 6,805.16 : x
  2. Step 2: Convert to fraction form
    10,781.44/14,882.32 = 6,805.16/x
  3. Step 3: Cross multiply
    10,781.44x = 14,882.32 × 6,805.16
  4. Step 4: Simplify right side
    10,781.44x = 101,276,568.77
  5. Step 5: Solve for x
    x = 101,276,568.77/10,781.44
  6. Step 6: Final answer
    x = 9,393.60

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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.