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Finding the Fourth Proportional to 8,094.60, 12,138.30 and 3,713.40

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Solution

The fourth proportional to 8,094.60, 12,138.30 and 3,713.40 is: 5,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.60 : 12,138.30 = 3,713.40 : x
  2. Step 2: Convert to fraction form
    8,094.60/12,138.30 = 3,713.40/x
  3. Step 3: Cross multiply
    8,094.60x = 12,138.30 × 3,713.40
  4. Step 4: Simplify right side
    8,094.60x = 45,074,363.22
  5. Step 5: Solve for x
    x = 45,074,363.22/8,094.60
  6. Step 6: Final answer
    x = 5,568.45

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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.