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Finding the Fourth Proportional to 8,376.91, 11,557.77 and 5,394.47

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Solution

The fourth proportional to 8,376.91, 11,557.77 and 5,394.47 is: 7,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.91 : 11,557.77 = 5,394.47 : x
  2. Step 2: Convert to fraction form
    8,376.91/11,557.77 = 5,394.47/x
  3. Step 3: Cross multiply
    8,376.91x = 11,557.77 × 5,394.47
  4. Step 4: Simplify right side
    8,376.91x = 62,348,043.53
  5. Step 5: Solve for x
    x = 62,348,043.53/8,376.91
  6. Step 6: Final answer
    x = 7,442.85

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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.