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Finding the Fourth Proportional to 8,279.71, 11,426.03 and 4,742.95

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Solution

The fourth proportional to 8,279.71, 11,426.03 and 4,742.95 is: 6,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.71 : 11,426.03 = 4,742.95 : x
  2. Step 2: Convert to fraction form
    8,279.71/11,426.03 = 4,742.95/x
  3. Step 3: Cross multiply
    8,279.71x = 11,426.03 × 4,742.95
  4. Step 4: Simplify right side
    8,279.71x = 54,193,088.99
  5. Step 5: Solve for x
    x = 54,193,088.99/8,279.71
  6. Step 6: Final answer
    x = 6,545.29

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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.