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Finding the Fourth Proportional to 10,565.80, 14,581.27 and 5,850.09

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Solution

The fourth proportional to 10,565.80, 14,581.27 and 5,850.09 is: 8,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.80 : 14,581.27 = 5,850.09 : x
  2. Step 2: Convert to fraction form
    10,565.80/14,581.27 = 5,850.09/x
  3. Step 3: Cross multiply
    10,565.80x = 14,581.27 × 5,850.09
  4. Step 4: Simplify right side
    10,565.80x = 85,301,741.81
  5. Step 5: Solve for x
    x = 85,301,741.81/10,565.80
  6. Step 6: Final answer
    x = 8,073.38

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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.