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Finding the Fourth Proportional to 10,565.92, 14,580.36 and 5,849.92

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Solution

The fourth proportional to 10,565.92, 14,580.36 and 5,849.92 is: 8,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.92 : 14,580.36 = 5,849.92 : x
  2. Step 2: Convert to fraction form
    10,565.92/14,580.36 = 5,849.92/x
  3. Step 3: Cross multiply
    10,565.92x = 14,580.36 × 5,849.92
  4. Step 4: Simplify right side
    10,565.92x = 85,293,939.57
  5. Step 5: Solve for x
    x = 85,293,939.57/10,565.92
  6. Step 6: Final answer
    x = 8,072.55

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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.