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Finding the Fourth Proportional to 8,309.73, 11,516.93 and 8,154.21

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Solution

The fourth proportional to 8,309.73, 11,516.93 and 8,154.21 is: 11,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.73 : 11,516.93 = 8,154.21 : x
  2. Step 2: Convert to fraction form
    8,309.73/11,516.93 = 8,154.21/x
  3. Step 3: Cross multiply
    8,309.73x = 11,516.93 × 8,154.21
  4. Step 4: Simplify right side
    8,309.73x = 93,911,425.00
  5. Step 5: Solve for x
    x = 93,911,425.00/8,309.73
  6. Step 6: Final answer
    x = 11,301.38

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Why These Related Problems?

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