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Finding the Fourth Proportional to 8,242.51, 12,363.78 and 2,002.53

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Solution

The fourth proportional to 8,242.51, 12,363.78 and 2,002.53 is: 3,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.51 : 12,363.78 = 2,002.53 : x
  2. Step 2: Convert to fraction form
    8,242.51/12,363.78 = 2,002.53/x
  3. Step 3: Cross multiply
    8,242.51x = 12,363.78 × 2,002.53
  4. Step 4: Simplify right side
    8,242.51x = 24,758,831.98
  5. Step 5: Solve for x
    x = 24,758,831.98/8,242.51
  6. Step 6: Final answer
    x = 3,003.80

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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.