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Finding the Fourth Proportional to 7,874.76, 11,812.82 and 2,031.32

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Solution

The fourth proportional to 7,874.76, 11,812.82 and 2,031.32 is: 3,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.76 : 11,812.82 = 2,031.32 : x
  2. Step 2: Convert to fraction form
    7,874.76/11,812.82 = 2,031.32/x
  3. Step 3: Cross multiply
    7,874.76x = 11,812.82 × 2,031.32
  4. Step 4: Simplify right side
    7,874.76x = 23,995,617.52
  5. Step 5: Solve for x
    x = 23,995,617.52/7,874.76
  6. Step 6: Final answer
    x = 3,047.16

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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.