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Finding the Fourth Proportional to 10,091.36, 15,129.48 and 6,795.20

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Solution

The fourth proportional to 10,091.36, 15,129.48 and 6,795.20 is: 10,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.36 : 15,129.48 = 6,795.20 : x
  2. Step 2: Convert to fraction form
    10,091.36/15,129.48 = 6,795.20/x
  3. Step 3: Cross multiply
    10,091.36x = 15,129.48 × 6,795.20
  4. Step 4: Simplify right side
    10,091.36x = 102,807,842.50
  5. Step 5: Solve for x
    x = 102,807,842.50/10,091.36
  6. Step 6: Final answer
    x = 10,187.71

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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.