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Finding the Fourth Proportional to 10,882.77, 15,018.30 and 6,167.07

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Solution

The fourth proportional to 10,882.77, 15,018.30 and 6,167.07 is: 8,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.77 : 15,018.30 = 6,167.07 : x
  2. Step 2: Convert to fraction form
    10,882.77/15,018.30 = 6,167.07/x
  3. Step 3: Cross multiply
    10,882.77x = 15,018.30 × 6,167.07
  4. Step 4: Simplify right side
    10,882.77x = 92,618,907.38
  5. Step 5: Solve for x
    x = 92,618,907.38/10,882.77
  6. Step 6: Final answer
    x = 8,510.60

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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.