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Finding the Fourth Proportional to 7,042.92, 10,565.16 and 3,146.82

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Solution

The fourth proportional to 7,042.92, 10,565.16 and 3,146.82 is: 4,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.92 : 10,565.16 = 3,146.82 : x
  2. Step 2: Convert to fraction form
    7,042.92/10,565.16 = 3,146.82/x
  3. Step 3: Cross multiply
    7,042.92x = 10,565.16 × 3,146.82
  4. Step 4: Simplify right side
    7,042.92x = 33,246,656.79
  5. Step 5: Solve for x
    x = 33,246,656.79/7,042.92
  6. Step 6: Final answer
    x = 4,720.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.