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Finding the Fourth Proportional to 8,124.52, 11,211.84 and 4,398.52

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Solution

The fourth proportional to 8,124.52, 11,211.84 and 4,398.52 is: 6,069.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.52 : 11,211.84 = 4,398.52 : x
  2. Step 2: Convert to fraction form
    8,124.52/11,211.84 = 4,398.52/x
  3. Step 3: Cross multiply
    8,124.52x = 11,211.84 × 4,398.52
  4. Step 4: Simplify right side
    8,124.52x = 49,315,502.48
  5. Step 5: Solve for x
    x = 49,315,502.48/8,124.52
  6. Step 6: Final answer
    x = 6,069.96

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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.