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Finding the Fourth Proportional to 8,740.60, 12,059.10 and 5,201.80

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Solution

The fourth proportional to 8,740.60, 12,059.10 and 5,201.80 is: 7,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.60 : 12,059.10 = 5,201.80 : x
  2. Step 2: Convert to fraction form
    8,740.60/12,059.10 = 5,201.80/x
  3. Step 3: Cross multiply
    8,740.60x = 12,059.10 × 5,201.80
  4. Step 4: Simplify right side
    8,740.60x = 62,729,026.38
  5. Step 5: Solve for x
    x = 62,729,026.38/8,740.60
  6. Step 6: Final answer
    x = 7,176.74

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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.