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Finding the Fourth Proportional to 8,981.10, 13,471.62 and 2,407.12

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Solution

The fourth proportional to 8,981.10, 13,471.62 and 2,407.12 is: 3,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.10 : 13,471.62 = 2,407.12 : x
  2. Step 2: Convert to fraction form
    8,981.10/13,471.62 = 2,407.12/x
  3. Step 3: Cross multiply
    8,981.10x = 13,471.62 × 2,407.12
  4. Step 4: Simplify right side
    8,981.10x = 32,427,805.93
  5. Step 5: Solve for x
    x = 32,427,805.93/8,981.10
  6. Step 6: Final answer
    x = 3,610.67

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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.