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Finding the Fourth Proportional to 7,031.76, 10,540.63 and 3,913.18

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Solution

The fourth proportional to 7,031.76, 10,540.63 and 3,913.18 is: 5,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.76 : 10,540.63 = 3,913.18 : x
  2. Step 2: Convert to fraction form
    7,031.76/10,540.63 = 3,913.18/x
  3. Step 3: Cross multiply
    7,031.76x = 10,540.63 × 3,913.18
  4. Step 4: Simplify right side
    7,031.76x = 41,247,382.50
  5. Step 5: Solve for x
    x = 41,247,382.50/7,031.76
  6. Step 6: Final answer
    x = 5,865.87

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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.