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Finding the Fourth Proportional to 15,398.88, 23,092.96 and 5,008

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Solution

The fourth proportional to 15,398.88, 23,092.96 and 5,008 is: 7,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,398.88 : 23,092.96 = 5,008 : x
  2. Step 2: Convert to fraction form
    15,398.88/23,092.96 = 5,008/x
  3. Step 3: Cross multiply
    15,398.88x = 23,092.96 × 5,008
  4. Step 4: Simplify right side
    15,398.88x = 115,649,543.68
  5. Step 5: Solve for x
    x = 115,649,543.68/15,398.88
  6. Step 6: Final answer
    x = 7,510.26

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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.