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Finding the Fourth Proportional to 8,725.71, 12,041.10 and 4,949.04

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Solution

The fourth proportional to 8,725.71, 12,041.10 and 4,949.04 is: 6,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,725.71 : 12,041.10 = 4,949.04 : x
  2. Step 2: Convert to fraction form
    8,725.71/12,041.10 = 4,949.04/x
  3. Step 3: Cross multiply
    8,725.71x = 12,041.10 × 4,949.04
  4. Step 4: Simplify right side
    8,725.71x = 59,591,885.54
  5. Step 5: Solve for x
    x = 59,591,885.54/8,725.71
  6. Step 6: Final answer
    x = 6,829.46

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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.