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Finding the Fourth Proportional to 10,565.83, 14,581.11 and 5,850.28

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Solution

The fourth proportional to 10,565.83, 14,581.11 and 5,850.28 is: 8,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.83 : 14,581.11 = 5,850.28 : x
  2. Step 2: Convert to fraction form
    10,565.83/14,581.11 = 5,850.28/x
  3. Step 3: Cross multiply
    10,565.83x = 14,581.11 × 5,850.28
  4. Step 4: Simplify right side
    10,565.83x = 85,303,576.21
  5. Step 5: Solve for x
    x = 85,303,576.21/10,565.83
  6. Step 6: Final answer
    x = 8,073.53

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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.