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Finding the Fourth Proportional to 8,726.52, 12,023.82 and 5,927.16

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Solution

The fourth proportional to 8,726.52, 12,023.82 and 5,927.16 is: 8,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.52 : 12,023.82 = 5,927.16 : x
  2. Step 2: Convert to fraction form
    8,726.52/12,023.82 = 5,927.16/x
  3. Step 3: Cross multiply
    8,726.52x = 12,023.82 × 5,927.16
  4. Step 4: Simplify right side
    8,726.52x = 71,267,104.95
  5. Step 5: Solve for x
    x = 71,267,104.95/8,726.52
  6. Step 6: Final answer
    x = 8,166.73

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1.5x scale

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.