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Finding the Fourth Proportional to 8,524.59, 11,763.94 and 4,748.48

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Solution

The fourth proportional to 8,524.59, 11,763.94 and 4,748.48 is: 6,552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.59 : 11,763.94 = 4,748.48 : x
  2. Step 2: Convert to fraction form
    8,524.59/11,763.94 = 4,748.48/x
  3. Step 3: Cross multiply
    8,524.59x = 11,763.94 × 4,748.48
  4. Step 4: Simplify right side
    8,524.59x = 55,860,851.35
  5. Step 5: Solve for x
    x = 55,860,851.35/8,524.59
  6. Step 6: Final answer
    x = 6,552.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.