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Finding the Fourth Proportional to 8,256.74, 12,325.70 and 7,074

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Solution

The fourth proportional to 8,256.74, 12,325.70 and 7,074 is: 10,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.74 : 12,325.70 = 7,074 : x
  2. Step 2: Convert to fraction form
    8,256.74/12,325.70 = 7,074/x
  3. Step 3: Cross multiply
    8,256.74x = 12,325.70 × 7,074
  4. Step 4: Simplify right side
    8,256.74x = 87,192,019.49
  5. Step 5: Solve for x
    x = 87,192,019.49/8,256.74
  6. Step 6: Final answer
    x = 10,560.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.