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Finding the Fourth Proportional to 8,352, 12,519.32 and 5,224.83

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Solution

The fourth proportional to 8,352, 12,519.32 and 5,224.83 is: 7,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352 : 12,519.32 = 5,224.83 : x
  2. Step 2: Convert to fraction form
    8,352/12,519.32 = 5,224.83/x
  3. Step 3: Cross multiply
    8,352x = 12,519.32 × 5,224.83
  4. Step 4: Simplify right side
    8,352x = 65,411,292.59
  5. Step 5: Solve for x
    x = 65,411,292.59/8,352
  6. Step 6: Final answer
    x = 7,831.81

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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.