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Finding the Fourth Proportional to 8,153.48, 11,241.84 and 6,892.28

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Solution

The fourth proportional to 8,153.48, 11,241.84 and 6,892.28 is: 9,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.48 : 11,241.84 = 6,892.28 : x
  2. Step 2: Convert to fraction form
    8,153.48/11,241.84 = 6,892.28/x
  3. Step 3: Cross multiply
    8,153.48x = 11,241.84 × 6,892.28
  4. Step 4: Simplify right side
    8,153.48x = 77,481,909.00
  5. Step 5: Solve for x
    x = 77,481,909.00/8,153.48
  6. Step 6: Final answer
    x = 9,502.93

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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.