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Finding the Fourth Proportional to 8,726.10, 12,041.88 and 4,747.12

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Solution

The fourth proportional to 8,726.10, 12,041.88 and 4,747.12 is: 6,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.10 : 12,041.88 = 4,747.12 : x
  2. Step 2: Convert to fraction form
    8,726.10/12,041.88 = 4,747.12/x
  3. Step 3: Cross multiply
    8,726.10x = 12,041.88 × 4,747.12
  4. Step 4: Simplify right side
    8,726.10x = 57,164,261.25
  5. Step 5: Solve for x
    x = 57,164,261.25/8,726.10
  6. Step 6: Final answer
    x = 6,550.95

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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.