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Finding the Fourth Proportional to 8,309.23, 11,516.24 and 8,153.71

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Solution

The fourth proportional to 8,309.23, 11,516.24 and 8,153.71 is: 11,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.23 : 11,516.24 = 8,153.71 : x
  2. Step 2: Convert to fraction form
    8,309.23/11,516.24 = 8,153.71/x
  3. Step 3: Cross multiply
    8,309.23x = 11,516.24 × 8,153.71
  4. Step 4: Simplify right side
    8,309.23x = 93,900,081.25
  5. Step 5: Solve for x
    x = 93,900,081.25/8,309.23
  6. Step 6: Final answer
    x = 11,300.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.