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Finding the Fourth Proportional to 11,334.23, 17,006.93 and 5,098.65

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Solution

The fourth proportional to 11,334.23, 17,006.93 and 5,098.65 is: 7,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334.23 : 17,006.93 = 5,098.65 : x
  2. Step 2: Convert to fraction form
    11,334.23/17,006.93 = 5,098.65/x
  3. Step 3: Cross multiply
    11,334.23x = 17,006.93 × 5,098.65
  4. Step 4: Simplify right side
    11,334.23x = 86,712,358.15
  5. Step 5: Solve for x
    x = 86,712,358.15/11,334.23
  6. Step 6: Final answer
    x = 7,650.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.