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Finding the Fourth Proportional to 10,421.15, 15,633.97 and 5,980.87

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Solution

The fourth proportional to 10,421.15, 15,633.97 and 5,980.87 is: 8,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.15 : 15,633.97 = 5,980.87 : x
  2. Step 2: Convert to fraction form
    10,421.15/15,633.97 = 5,980.87/x
  3. Step 3: Cross multiply
    10,421.15x = 15,633.97 × 5,980.87
  4. Step 4: Simplify right side
    10,421.15x = 93,504,634.08
  5. Step 5: Solve for x
    x = 93,504,634.08/10,421.15
  6. Step 6: Final answer
    x = 8,972.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.