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Finding the Fourth Proportional to 8,773.52, 12,101.80 and 5,234

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Solution

The fourth proportional to 8,773.52, 12,101.80 and 5,234 is: 7,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,773.52 : 12,101.80 = 5,234 : x
  2. Step 2: Convert to fraction form
    8,773.52/12,101.80 = 5,234/x
  3. Step 3: Cross multiply
    8,773.52x = 12,101.80 × 5,234
  4. Step 4: Simplify right side
    8,773.52x = 63,340,821.20
  5. Step 5: Solve for x
    x = 63,340,821.20/8,773.52
  6. Step 6: Final answer
    x = 7,219.54

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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.