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Finding the Fourth Proportional to 8,242.50, 12,360.06 and 4,912.32

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Solution

The fourth proportional to 8,242.50, 12,360.06 and 4,912.32 is: 7,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.50 : 12,360.06 = 4,912.32 : x
  2. Step 2: Convert to fraction form
    8,242.50/12,360.06 = 4,912.32/x
  3. Step 3: Cross multiply
    8,242.50x = 12,360.06 × 4,912.32
  4. Step 4: Simplify right side
    8,242.50x = 60,716,545.38
  5. Step 5: Solve for x
    x = 60,716,545.38/8,242.50
  6. Step 6: Final answer
    x = 7,366.28

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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.