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Finding the Fourth Proportional to 10,540.89, 14,545.86 and 5,824.89

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Solution

The fourth proportional to 10,540.89, 14,545.86 and 5,824.89 is: 8,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.89 : 14,545.86 = 5,824.89 : x
  2. Step 2: Convert to fraction form
    10,540.89/14,545.86 = 5,824.89/x
  3. Step 3: Cross multiply
    10,540.89x = 14,545.86 × 5,824.89
  4. Step 4: Simplify right side
    10,540.89x = 84,728,034.46
  5. Step 5: Solve for x
    x = 84,728,034.46/10,540.89
  6. Step 6: Final answer
    x = 8,038.03

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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.