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Finding the Fourth Proportional to 8,374, 11,556.04 and 4,597

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Solution

The fourth proportional to 8,374, 11,556.04 and 4,597 is: 6,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374 : 11,556.04 = 4,597 : x
  2. Step 2: Convert to fraction form
    8,374/11,556.04 = 4,597/x
  3. Step 3: Cross multiply
    8,374x = 11,556.04 × 4,597
  4. Step 4: Simplify right side
    8,374x = 53,123,115.88
  5. Step 5: Solve for x
    x = 53,123,115.88/8,374
  6. Step 6: Final answer
    x = 6,343.82

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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.