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Finding the Fourth Proportional to 8,374, 11,556.03 and 4,837.14

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Solution

The fourth proportional to 8,374, 11,556.03 and 4,837.14 is: 6,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374 : 11,556.03 = 4,837.14 : x
  2. Step 2: Convert to fraction form
    8,374/11,556.03 = 4,837.14/x
  3. Step 3: Cross multiply
    8,374x = 11,556.03 × 4,837.14
  4. Step 4: Simplify right side
    8,374x = 55,898,134.95
  5. Step 5: Solve for x
    x = 55,898,134.95/8,374
  6. Step 6: Final answer
    x = 6,675.20

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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.