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Finding the Fourth Proportional to 7,468.20, 10,298.48 and 4,949.44

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Solution

The fourth proportional to 7,468.20, 10,298.48 and 4,949.44 is: 6,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.20 : 10,298.48 = 4,949.44 : x
  2. Step 2: Convert to fraction form
    7,468.20/10,298.48 = 4,949.44/x
  3. Step 3: Cross multiply
    7,468.20x = 10,298.48 × 4,949.44
  4. Step 4: Simplify right side
    7,468.20x = 50,971,658.36
  5. Step 5: Solve for x
    x = 50,971,658.36/7,468.20
  6. Step 6: Final answer
    x = 6,825.16

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