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Finding the Fourth Proportional to 8,734.10, 12,053.14 and 5,007.38

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Solution

The fourth proportional to 8,734.10, 12,053.14 and 5,007.38 is: 6,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.10 : 12,053.14 = 5,007.38 : x
  2. Step 2: Convert to fraction form
    8,734.10/12,053.14 = 5,007.38/x
  3. Step 3: Cross multiply
    8,734.10x = 12,053.14 × 5,007.38
  4. Step 4: Simplify right side
    8,734.10x = 60,354,579.39
  5. Step 5: Solve for x
    x = 60,354,579.39/8,734.10
  6. Step 6: Final answer
    x = 6,910.23

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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.