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Finding the Fourth Proportional to 10,590.46, 15,887.05 and 3,195.66

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Solution

The fourth proportional to 10,590.46, 15,887.05 and 3,195.66 is: 4,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.46 : 15,887.05 = 3,195.66 : x
  2. Step 2: Convert to fraction form
    10,590.46/15,887.05 = 3,195.66/x
  3. Step 3: Cross multiply
    10,590.46x = 15,887.05 × 3,195.66
  4. Step 4: Simplify right side
    10,590.46x = 50,769,602.21
  5. Step 5: Solve for x
    x = 50,769,602.21/10,590.46
  6. Step 6: Final answer
    x = 4,793.90

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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.