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Finding the Fourth Proportional to 8,151.98, 11,248.11 and 4,963.15

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Solution

The fourth proportional to 8,151.98, 11,248.11 and 4,963.15 is: 6,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.98 : 11,248.11 = 4,963.15 : x
  2. Step 2: Convert to fraction form
    8,151.98/11,248.11 = 4,963.15/x
  3. Step 3: Cross multiply
    8,151.98x = 11,248.11 × 4,963.15
  4. Step 4: Simplify right side
    8,151.98x = 55,826,071.21
  5. Step 5: Solve for x
    x = 55,826,071.21/8,151.98
  6. Step 6: Final answer
    x = 6,848.17

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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.