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Finding the Fourth Proportional to 8,076, 12,114 and 2,152.91

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Solution

The fourth proportional to 8,076, 12,114 and 2,152.91 is: 3,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076 : 12,114 = 2,152.91 : x
  2. Step 2: Convert to fraction form
    8,076/12,114 = 2,152.91/x
  3. Step 3: Cross multiply
    8,076x = 12,114 × 2,152.91
  4. Step 4: Simplify right side
    8,076x = 26,080,291.17
  5. Step 5: Solve for x
    x = 26,080,291.17/8,076
  6. Step 6: Final answer
    x = 3,229.36

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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.