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Finding the Fourth Proportional to 11,334, 17,006.19 and 5,095.65

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Solution

The fourth proportional to 11,334, 17,006.19 and 5,095.65 is: 7,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334 : 17,006.19 = 5,095.65 : x
  2. Step 2: Convert to fraction form
    11,334/17,006.19 = 5,095.65/x
  3. Step 3: Cross multiply
    11,334x = 17,006.19 × 5,095.65
  4. Step 4: Simplify right side
    11,334x = 86,657,592.07
  5. Step 5: Solve for x
    x = 86,657,592.07/11,334
  6. Step 6: Final answer
    x = 7,645.81

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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.