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Finding the Fourth Proportional to 6,762.57, 10,129.47 and 3,247.38

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Solution

The fourth proportional to 6,762.57, 10,129.47 and 3,247.38 is: 4,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.57 : 10,129.47 = 3,247.38 : x
  2. Step 2: Convert to fraction form
    6,762.57/10,129.47 = 3,247.38/x
  3. Step 3: Cross multiply
    6,762.57x = 10,129.47 × 3,247.38
  4. Step 4: Simplify right side
    6,762.57x = 32,894,238.29
  5. Step 5: Solve for x
    x = 32,894,238.29/6,762.57
  6. Step 6: Final answer
    x = 4,864.16

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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.