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Finding the Fourth Proportional to 10,540.44, 14,545.78 and 5,824.69

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Solution

The fourth proportional to 10,540.44, 14,545.78 and 5,824.69 is: 8,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.44 : 14,545.78 = 5,824.69 : x
  2. Step 2: Convert to fraction form
    10,540.44/14,545.78 = 5,824.69/x
  3. Step 3: Cross multiply
    10,540.44x = 14,545.78 × 5,824.69
  4. Step 4: Simplify right side
    10,540.44x = 84,724,608.38
  5. Step 5: Solve for x
    x = 84,724,608.38/10,540.44
  6. Step 6: Final answer
    x = 8,038.05

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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.