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Finding the Fourth Proportional to 10,008.86, 13,796.32 and 7,881.02

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Solution

The fourth proportional to 10,008.86, 13,796.32 and 7,881.02 is: 10,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.86 : 13,796.32 = 7,881.02 : x
  2. Step 2: Convert to fraction form
    10,008.86/13,796.32 = 7,881.02/x
  3. Step 3: Cross multiply
    10,008.86x = 13,796.32 × 7,881.02
  4. Step 4: Simplify right side
    10,008.86x = 108,729,073.85
  5. Step 5: Solve for x
    x = 108,729,073.85/10,008.86
  6. Step 6: Final answer
    x = 10,863.28

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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.