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Finding the Fourth Proportional to 8,612.46, 11,885.04 and 5,027.76

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Solution

The fourth proportional to 8,612.46, 11,885.04 and 5,027.76 is: 6,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.46 : 11,885.04 = 5,027.76 : x
  2. Step 2: Convert to fraction form
    8,612.46/11,885.04 = 5,027.76/x
  3. Step 3: Cross multiply
    8,612.46x = 11,885.04 × 5,027.76
  4. Step 4: Simplify right side
    8,612.46x = 59,755,128.71
  5. Step 5: Solve for x
    x = 59,755,128.71/8,612.46
  6. Step 6: Final answer
    x = 6,938.22

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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.