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Finding the Fourth Proportional to 10,298.48, 15,435.97 and 7,843.57

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Solution

The fourth proportional to 10,298.48, 15,435.97 and 7,843.57 is: 11,756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.48 : 15,435.97 = 7,843.57 : x
  2. Step 2: Convert to fraction form
    10,298.48/15,435.97 = 7,843.57/x
  3. Step 3: Cross multiply
    10,298.48x = 15,435.97 × 7,843.57
  4. Step 4: Simplify right side
    10,298.48x = 121,073,053.01
  5. Step 5: Solve for x
    x = 121,073,053.01/10,298.48
  6. Step 6: Final answer
    x = 11,756.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.