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Finding the Fourth Proportional to 8,812.61, 12,161.96 and 5,823.20

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Solution

The fourth proportional to 8,812.61, 12,161.96 and 5,823.20 is: 8,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,812.61 : 12,161.96 = 5,823.20 : x
  2. Step 2: Convert to fraction form
    8,812.61/12,161.96 = 5,823.20/x
  3. Step 3: Cross multiply
    8,812.61x = 12,161.96 × 5,823.20
  4. Step 4: Simplify right side
    8,812.61x = 70,821,435.55
  5. Step 5: Solve for x
    x = 70,821,435.55/8,812.61
  6. Step 6: Final answer
    x = 8,036.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.