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Finding the Fourth Proportional to 8,062.64, 12,094.02 and 2,219.57

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Solution

The fourth proportional to 8,062.64, 12,094.02 and 2,219.57 is: 3,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062.64 : 12,094.02 = 2,219.57 : x
  2. Step 2: Convert to fraction form
    8,062.64/12,094.02 = 2,219.57/x
  3. Step 3: Cross multiply
    8,062.64x = 12,094.02 × 2,219.57
  4. Step 4: Simplify right side
    8,062.64x = 26,843,463.50
  5. Step 5: Solve for x
    x = 26,843,463.50/8,062.64
  6. Step 6: Final answer
    x = 3,329.37

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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.