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Finding the Fourth Proportional to 11,500.10, 15,865.98 and 7,523.48

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Solution

The fourth proportional to 11,500.10, 15,865.98 and 7,523.48 is: 10,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.10 : 15,865.98 = 7,523.48 : x
  2. Step 2: Convert to fraction form
    11,500.10/15,865.98 = 7,523.48/x
  3. Step 3: Cross multiply
    11,500.10x = 15,865.98 × 7,523.48
  4. Step 4: Simplify right side
    11,500.10x = 119,367,383.21
  5. Step 5: Solve for x
    x = 119,367,383.21/11,500.10
  6. Step 6: Final answer
    x = 10,379.68

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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.