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Finding the Fourth Proportional to 10,092.96, 15,130.86 and 4,824.96

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Solution

The fourth proportional to 10,092.96, 15,130.86 and 4,824.96 is: 7,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.96 : 15,130.86 = 4,824.96 : x
  2. Step 2: Convert to fraction form
    10,092.96/15,130.86 = 4,824.96/x
  3. Step 3: Cross multiply
    10,092.96x = 15,130.86 × 4,824.96
  4. Step 4: Simplify right side
    10,092.96x = 73,005,794.27
  5. Step 5: Solve for x
    x = 73,005,794.27/10,092.96
  6. Step 6: Final answer
    x = 7,233.34

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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.