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Finding the Fourth Proportional to 8,098.76, 11,177.50 and 4,956.76

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Solution

The fourth proportional to 8,098.76, 11,177.50 and 4,956.76 is: 6,841.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.76 : 11,177.50 = 4,956.76 : x
  2. Step 2: Convert to fraction form
    8,098.76/11,177.50 = 4,956.76/x
  3. Step 3: Cross multiply
    8,098.76x = 11,177.50 × 4,956.76
  4. Step 4: Simplify right side
    8,098.76x = 55,404,184.90
  5. Step 5: Solve for x
    x = 55,404,184.90/8,098.76
  6. Step 6: Final answer
    x = 6,841.07

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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.