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Finding the Fourth Proportional to 8,098.04, 11,177.70 and 5,074.76

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Solution

The fourth proportional to 8,098.04, 11,177.70 and 5,074.76 is: 7,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.04 : 11,177.70 = 5,074.76 : x
  2. Step 2: Convert to fraction form
    8,098.04/11,177.70 = 5,074.76/x
  3. Step 3: Cross multiply
    8,098.04x = 11,177.70 × 5,074.76
  4. Step 4: Simplify right side
    8,098.04x = 56,724,144.85
  5. Step 5: Solve for x
    x = 56,724,144.85/8,098.04
  6. Step 6: Final answer
    x = 7,004.68

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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.