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Finding the Fourth Proportional to 8,162.60, 11,264.50 and 4,436.68

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Solution

The fourth proportional to 8,162.60, 11,264.50 and 4,436.68 is: 6,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.60 : 11,264.50 = 4,436.68 : x
  2. Step 2: Convert to fraction form
    8,162.60/11,264.50 = 4,436.68/x
  3. Step 3: Cross multiply
    8,162.60x = 11,264.50 × 4,436.68
  4. Step 4: Simplify right side
    8,162.60x = 49,976,981.86
  5. Step 5: Solve for x
    x = 49,976,981.86/8,162.60
  6. Step 6: Final answer
    x = 6,122.68

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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.