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Finding the Fourth Proportional to 10,178.52, 15,269.04 and 3,603.36

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Solution

The fourth proportional to 10,178.52, 15,269.04 and 3,603.36 is: 5,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.52 : 15,269.04 = 3,603.36 : x
  2. Step 2: Convert to fraction form
    10,178.52/15,269.04 = 3,603.36/x
  3. Step 3: Cross multiply
    10,178.52x = 15,269.04 × 3,603.36
  4. Step 4: Simplify right side
    10,178.52x = 55,019,847.97
  5. Step 5: Solve for x
    x = 55,019,847.97/10,178.52
  6. Step 6: Final answer
    x = 5,405.49

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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.