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Finding the Fourth Proportional to 8,466, 11,683.18 and 4,689.24

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Solution

The fourth proportional to 8,466, 11,683.18 and 4,689.24 is: 6,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466 : 11,683.18 = 4,689.24 : x
  2. Step 2: Convert to fraction form
    8,466/11,683.18 = 4,689.24/x
  3. Step 3: Cross multiply
    8,466x = 11,683.18 × 4,689.24
  4. Step 4: Simplify right side
    8,466x = 54,785,234.98
  5. Step 5: Solve for x
    x = 54,785,234.98/8,466
  6. Step 6: Final answer
    x = 6,471.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.