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Finding the Fourth Proportional to 8,366.79, 11,543.72 and 5,182.43

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Solution

The fourth proportional to 8,366.79, 11,543.72 and 5,182.43 is: 7,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.79 : 11,543.72 = 5,182.43 : x
  2. Step 2: Convert to fraction form
    8,366.79/11,543.72 = 5,182.43/x
  3. Step 3: Cross multiply
    8,366.79x = 11,543.72 × 5,182.43
  4. Step 4: Simplify right side
    8,366.79x = 59,824,502.14
  5. Step 5: Solve for x
    x = 59,824,502.14/8,366.79
  6. Step 6: Final answer
    x = 7,150.23

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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.