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Finding the Fourth Proportional to 7,193.48, 9,926.54 and 4,049.88

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Solution

The fourth proportional to 7,193.48, 9,926.54 and 4,049.88 is: 5,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.48 : 9,926.54 = 4,049.88 : x
  2. Step 2: Convert to fraction form
    7,193.48/9,926.54 = 4,049.88/x
  3. Step 3: Cross multiply
    7,193.48x = 9,926.54 × 4,049.88
  4. Step 4: Simplify right side
    7,193.48x = 40,201,295.82
  5. Step 5: Solve for x
    x = 40,201,295.82/7,193.48
  6. Step 6: Final answer
    x = 5,588.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.