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Finding the Fourth Proportional to 6,894.72, 10,348.05 and 3,610.11

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Solution

The fourth proportional to 6,894.72, 10,348.05 and 3,610.11 is: 5,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.72 : 10,348.05 = 3,610.11 : x
  2. Step 2: Convert to fraction form
    6,894.72/10,348.05 = 3,610.11/x
  3. Step 3: Cross multiply
    6,894.72x = 10,348.05 × 3,610.11
  4. Step 4: Simplify right side
    6,894.72x = 37,357,598.79
  5. Step 5: Solve for x
    x = 37,357,598.79/6,894.72
  6. Step 6: Final answer
    x = 5,418.29

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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.