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Finding the Fourth Proportional to 8,702, 12,008.68 and 4,723.24

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Solution

The fourth proportional to 8,702, 12,008.68 and 4,723.24 is: 6,518.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702 : 12,008.68 = 4,723.24 : x
  2. Step 2: Convert to fraction form
    8,702/12,008.68 = 4,723.24/x
  3. Step 3: Cross multiply
    8,702x = 12,008.68 × 4,723.24
  4. Step 4: Simplify right side
    8,702x = 56,719,877.72
  5. Step 5: Solve for x
    x = 56,719,877.72/8,702
  6. Step 6: Final answer
    x = 6,518.03

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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.