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Finding the Fourth Proportional to 6,762.78, 10,145.61 and 2,867.10

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Solution

The fourth proportional to 6,762.78, 10,145.61 and 2,867.10 is: 4,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.78 : 10,145.61 = 2,867.10 : x
  2. Step 2: Convert to fraction form
    6,762.78/10,145.61 = 2,867.10/x
  3. Step 3: Cross multiply
    6,762.78x = 10,145.61 × 2,867.10
  4. Step 4: Simplify right side
    6,762.78x = 29,088,478.43
  5. Step 5: Solve for x
    x = 29,088,478.43/6,762.78
  6. Step 6: Final answer
    x = 4,301.26

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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.