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Finding the Fourth Proportional to 10,597.96, 14,625.30 and 5,882.44

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Solution

The fourth proportional to 10,597.96, 14,625.30 and 5,882.44 is: 8,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.96 : 14,625.30 = 5,882.44 : x
  2. Step 2: Convert to fraction form
    10,597.96/14,625.30 = 5,882.44/x
  3. Step 3: Cross multiply
    10,597.96x = 14,625.30 × 5,882.44
  4. Step 4: Simplify right side
    10,597.96x = 86,032,449.73
  5. Step 5: Solve for x
    x = 86,032,449.73/10,597.96
  6. Step 6: Final answer
    x = 8,117.83

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