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Finding the Fourth Proportional to 10,598.60, 14,625.82 and 5,882.78

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Solution

The fourth proportional to 10,598.60, 14,625.82 and 5,882.78 is: 8,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.60 : 14,625.82 = 5,882.78 : x
  2. Step 2: Convert to fraction form
    10,598.60/14,625.82 = 5,882.78/x
  3. Step 3: Cross multiply
    10,598.60x = 14,625.82 × 5,882.78
  4. Step 4: Simplify right side
    10,598.60x = 86,040,481.38
  5. Step 5: Solve for x
    x = 86,040,481.38/10,598.60
  6. Step 6: Final answer
    x = 8,118.10

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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.