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Finding the Fourth Proportional to 8,649.16, 12,974.78 and 4,031.08

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Solution

The fourth proportional to 8,649.16, 12,974.78 and 4,031.08 is: 6,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.16 : 12,974.78 = 4,031.08 : x
  2. Step 2: Convert to fraction form
    8,649.16/12,974.78 = 4,031.08/x
  3. Step 3: Cross multiply
    8,649.16x = 12,974.78 × 4,031.08
  4. Step 4: Simplify right side
    8,649.16x = 52,302,376.16
  5. Step 5: Solve for x
    x = 52,302,376.16/8,649.16
  6. Step 6: Final answer
    x = 6,047.10

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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.