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Finding the Fourth Proportional to 10,493.48, 15,740.22 and 7,196.58

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Solution

The fourth proportional to 10,493.48, 15,740.22 and 7,196.58 is: 10,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.48 : 15,740.22 = 7,196.58 : x
  2. Step 2: Convert to fraction form
    10,493.48/15,740.22 = 7,196.58/x
  3. Step 3: Cross multiply
    10,493.48x = 15,740.22 × 7,196.58
  4. Step 4: Simplify right side
    10,493.48x = 113,275,752.45
  5. Step 5: Solve for x
    x = 113,275,752.45/10,493.48
  6. Step 6: Final answer
    x = 10,794.87

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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.