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Finding the Fourth Proportional to 10,254.52, 15,381.76 and 3,329

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Solution

The fourth proportional to 10,254.52, 15,381.76 and 3,329 is: 4,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.52 : 15,381.76 = 3,329 : x
  2. Step 2: Convert to fraction form
    10,254.52/15,381.76 = 3,329/x
  3. Step 3: Cross multiply
    10,254.52x = 15,381.76 × 3,329
  4. Step 4: Simplify right side
    10,254.52x = 51,205,879.04
  5. Step 5: Solve for x
    x = 51,205,879.04/10,254.52
  6. Step 6: Final answer
    x = 4,993.49

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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.