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Finding the Fourth Proportional to 8,099.65, 11,177.77 and 4,742.76

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Solution

The fourth proportional to 8,099.65, 11,177.77 and 4,742.76 is: 6,545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.65 : 11,177.77 = 4,742.76 : x
  2. Step 2: Convert to fraction form
    8,099.65/11,177.77 = 4,742.76/x
  3. Step 3: Cross multiply
    8,099.65x = 11,177.77 × 4,742.76
  4. Step 4: Simplify right side
    8,099.65x = 53,013,480.45
  5. Step 5: Solve for x
    x = 53,013,480.45/8,099.65
  6. Step 6: Final answer
    x = 6,545.16

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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.