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Finding the Fourth Proportional to 10,581.86, 14,604.02 and 5,867.06

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Solution

The fourth proportional to 10,581.86, 14,604.02 and 5,867.06 is: 8,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.86 : 14,604.02 = 5,867.06 : x
  2. Step 2: Convert to fraction form
    10,581.86/14,604.02 = 5,867.06/x
  3. Step 3: Cross multiply
    10,581.86x = 14,604.02 × 5,867.06
  4. Step 4: Simplify right side
    10,581.86x = 85,682,559.23
  5. Step 5: Solve for x
    x = 85,682,559.23/10,581.86
  6. Step 6: Final answer
    x = 8,097.12

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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.