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Finding the Fourth Proportional to 8,098.21, 11,178.32 and 4,742.10

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Solution

The fourth proportional to 8,098.21, 11,178.32 and 4,742.10 is: 6,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.21 : 11,178.32 = 4,742.10 : x
  2. Step 2: Convert to fraction form
    8,098.21/11,178.32 = 4,742.10/x
  3. Step 3: Cross multiply
    8,098.21x = 11,178.32 × 4,742.10
  4. Step 4: Simplify right side
    8,098.21x = 53,008,711.27
  5. Step 5: Solve for x
    x = 53,008,711.27/8,098.21
  6. Step 6: Final answer
    x = 6,545.74

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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.