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Finding the Fourth Proportional to 10,104.57, 13,957.38 and 8,702.46

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Solution

The fourth proportional to 10,104.57, 13,957.38 and 8,702.46 is: 12,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.57 : 13,957.38 = 8,702.46 : x
  2. Step 2: Convert to fraction form
    10,104.57/13,957.38 = 8,702.46/x
  3. Step 3: Cross multiply
    10,104.57x = 13,957.38 × 8,702.46
  4. Step 4: Simplify right side
    10,104.57x = 121,463,541.15
  5. Step 5: Solve for x
    x = 121,463,541.15/10,104.57
  6. Step 6: Final answer
    x = 12,020.65

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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.