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Finding the Fourth Proportional to 8,338.29, 11,506.66 and 4,981.86

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Solution

The fourth proportional to 8,338.29, 11,506.66 and 4,981.86 is: 6,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.29 : 11,506.66 = 4,981.86 : x
  2. Step 2: Convert to fraction form
    8,338.29/11,506.66 = 4,981.86/x
  3. Step 3: Cross multiply
    8,338.29x = 11,506.66 × 4,981.86
  4. Step 4: Simplify right side
    8,338.29x = 57,324,569.19
  5. Step 5: Solve for x
    x = 57,324,569.19/8,338.29
  6. Step 6: Final answer
    x = 6,874.86

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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.