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Finding the Fourth Proportional to 10,916.66, 16,379.84 and 5,721.32

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Solution

The fourth proportional to 10,916.66, 16,379.84 and 5,721.32 is: 8,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.66 : 16,379.84 = 5,721.32 : x
  2. Step 2: Convert to fraction form
    10,916.66/16,379.84 = 5,721.32/x
  3. Step 3: Cross multiply
    10,916.66x = 16,379.84 × 5,721.32
  4. Step 4: Simplify right side
    10,916.66x = 93,714,306.19
  5. Step 5: Solve for x
    x = 93,714,306.19/10,916.66
  6. Step 6: Final answer
    x = 8,584.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.