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Finding the Fourth Proportional to 10,058.96, 15,092.04 and 5,129.84

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Solution

The fourth proportional to 10,058.96, 15,092.04 and 5,129.84 is: 7,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.96 : 15,092.04 = 5,129.84 : x
  2. Step 2: Convert to fraction form
    10,058.96/15,092.04 = 5,129.84/x
  3. Step 3: Cross multiply
    10,058.96x = 15,092.04 × 5,129.84
  4. Step 4: Simplify right side
    10,058.96x = 77,419,750.47
  5. Step 5: Solve for x
    x = 77,419,750.47/10,058.96
  6. Step 6: Final answer
    x = 7,696.60

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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.