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Finding the Fourth Proportional to 10,091.83, 15,073.15 and 9,140.56

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Solution

The fourth proportional to 10,091.83, 15,073.15 and 9,140.56 is: 13,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.83 : 15,073.15 = 9,140.56 : x
  2. Step 2: Convert to fraction form
    10,091.83/15,073.15 = 9,140.56/x
  3. Step 3: Cross multiply
    10,091.83x = 15,073.15 × 9,140.56
  4. Step 4: Simplify right side
    10,091.83x = 137,777,092.50
  5. Step 5: Solve for x
    x = 137,777,092.50/10,091.83
  6. Step 6: Final answer
    x = 13,652.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.