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Finding the Fourth Proportional to 8,726.20, 12,041.50 and 4,948.49

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Solution

The fourth proportional to 8,726.20, 12,041.50 and 4,948.49 is: 6,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.20 : 12,041.50 = 4,948.49 : x
  2. Step 2: Convert to fraction form
    8,726.20/12,041.50 = 4,948.49/x
  3. Step 3: Cross multiply
    8,726.20x = 12,041.50 × 4,948.49
  4. Step 4: Simplify right side
    8,726.20x = 59,587,260.07
  5. Step 5: Solve for x
    x = 59,587,260.07/8,726.20
  6. Step 6: Final answer
    x = 6,828.55

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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.