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Finding the Fourth Proportional to 8,702, 13,035.72 and 4,306.04

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Solution

The fourth proportional to 8,702, 13,035.72 and 4,306.04 is: 6,450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702 : 13,035.72 = 4,306.04 : x
  2. Step 2: Convert to fraction form
    8,702/13,035.72 = 4,306.04/x
  3. Step 3: Cross multiply
    8,702x = 13,035.72 × 4,306.04
  4. Step 4: Simplify right side
    8,702x = 56,132,331.75
  5. Step 5: Solve for x
    x = 56,132,331.75/8,702
  6. Step 6: Final answer
    x = 6,450.51

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Why These Related Problems?

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