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Finding the Fourth Proportional to 8,102, 11,180.77 and 4,376

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Solution

The fourth proportional to 8,102, 11,180.77 and 4,376 is: 6,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102 : 11,180.77 = 4,376 : x
  2. Step 2: Convert to fraction form
    8,102/11,180.77 = 4,376/x
  3. Step 3: Cross multiply
    8,102x = 11,180.77 × 4,376
  4. Step 4: Simplify right side
    8,102x = 48,927,038.58
  5. Step 5: Solve for x
    x = 48,927,038.58/8,102
  6. Step 6: Final answer
    x = 6,038.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.