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Finding the Fourth Proportional to 10,565.67, 14,580.09 and 5,850.27

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Solution

The fourth proportional to 10,565.67, 14,580.09 and 5,850.27 is: 8,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.67 : 14,580.09 = 5,850.27 : x
  2. Step 2: Convert to fraction form
    10,565.67/14,580.09 = 5,850.27/x
  3. Step 3: Cross multiply
    10,565.67x = 14,580.09 × 5,850.27
  4. Step 4: Simplify right side
    10,565.67x = 85,297,463.12
  5. Step 5: Solve for x
    x = 85,297,463.12/10,565.67
  6. Step 6: Final answer
    x = 8,073.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.