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Finding the Fourth Proportional to 10,545.56, 15,821.22 and 4,301.72

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Solution

The fourth proportional to 10,545.56, 15,821.22 and 4,301.72 is: 6,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.56 : 15,821.22 = 4,301.72 : x
  2. Step 2: Convert to fraction form
    10,545.56/15,821.22 = 4,301.72/x
  3. Step 3: Cross multiply
    10,545.56x = 15,821.22 × 4,301.72
  4. Step 4: Simplify right side
    10,545.56x = 68,058,458.50
  5. Step 5: Solve for x
    x = 68,058,458.50/10,545.56
  6. Step 6: Final answer
    x = 6,453.75

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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.