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Finding the Fourth Proportional to 10,587.87, 15,881.94 and 4,743.27

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Solution

The fourth proportional to 10,587.87, 15,881.94 and 4,743.27 is: 7,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.87 : 15,881.94 = 4,743.27 : x
  2. Step 2: Convert to fraction form
    10,587.87/15,881.94 = 4,743.27/x
  3. Step 3: Cross multiply
    10,587.87x = 15,881.94 × 4,743.27
  4. Step 4: Simplify right side
    10,587.87x = 75,332,329.54
  5. Step 5: Solve for x
    x = 75,332,329.54/10,587.87
  6. Step 6: Final answer
    x = 7,114.97

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Why These Related Problems?

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