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Finding the Fourth Proportional to 10,571.29, 14,586.99 and 5,854.97

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Solution

The fourth proportional to 10,571.29, 14,586.99 and 5,854.97 is: 8,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.29 : 14,586.99 = 5,854.97 : x
  2. Step 2: Convert to fraction form
    10,571.29/14,586.99 = 5,854.97/x
  3. Step 3: Cross multiply
    10,571.29x = 14,586.99 × 5,854.97
  4. Step 4: Simplify right side
    10,571.29x = 85,406,359.57
  5. Step 5: Solve for x
    x = 85,406,359.57/10,571.29
  6. Step 6: Final answer
    x = 8,079.09

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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.