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Finding the Fourth Proportional to 10,581.65, 14,601.65 and 5,865.83

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Solution

The fourth proportional to 10,581.65, 14,601.65 and 5,865.83 is: 8,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.65 : 14,601.65 = 5,865.83 : x
  2. Step 2: Convert to fraction form
    10,581.65/14,601.65 = 5,865.83/x
  3. Step 3: Cross multiply
    10,581.65x = 14,601.65 × 5,865.83
  4. Step 4: Simplify right side
    10,581.65x = 85,650,767.29
  5. Step 5: Solve for x
    x = 85,650,767.29/10,581.65
  6. Step 6: Final answer
    x = 8,094.27

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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.