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Finding the Fourth Proportional to 8,151.48, 11,241.32 and 5,468.76

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Solution

The fourth proportional to 8,151.48, 11,241.32 and 5,468.76 is: 7,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.48 : 11,241.32 = 5,468.76 : x
  2. Step 2: Convert to fraction form
    8,151.48/11,241.32 = 5,468.76/x
  3. Step 3: Cross multiply
    8,151.48x = 11,241.32 × 5,468.76
  4. Step 4: Simplify right side
    8,151.48x = 61,476,053.82
  5. Step 5: Solve for x
    x = 61,476,053.82/8,151.48
  6. Step 6: Final answer
    x = 7,541.70

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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.