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Finding the Fourth Proportional to 7,541.38, 10,407.46 and 4,710.43

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Solution

The fourth proportional to 7,541.38, 10,407.46 and 4,710.43 is: 6,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.38 : 10,407.46 = 4,710.43 : x
  2. Step 2: Convert to fraction form
    7,541.38/10,407.46 = 4,710.43/x
  3. Step 3: Cross multiply
    7,541.38x = 10,407.46 × 4,710.43
  4. Step 4: Simplify right side
    7,541.38x = 49,023,562.24
  5. Step 5: Solve for x
    x = 49,023,562.24/7,541.38
  6. Step 6: Final answer
    x = 6,500.61

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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.