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Finding the Fourth Proportional to 8,726.56, 12,041.60 and 4,949.44

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Solution

The fourth proportional to 8,726.56, 12,041.60 and 4,949.44 is: 6,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.56 : 12,041.60 = 4,949.44 : x
  2. Step 2: Convert to fraction form
    8,726.56/12,041.60 = 4,949.44/x
  3. Step 3: Cross multiply
    8,726.56x = 12,041.60 × 4,949.44
  4. Step 4: Simplify right side
    8,726.56x = 59,599,176.70
  5. Step 5: Solve for x
    x = 59,599,176.70/8,726.56
  6. Step 6: Final answer
    x = 6,829.63

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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.