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Finding the Fourth Proportional to 7,298.97, 10,949.83 and 2,368

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Solution

The fourth proportional to 7,298.97, 10,949.83 and 2,368 is: 3,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.97 : 10,949.83 = 2,368 : x
  2. Step 2: Convert to fraction form
    7,298.97/10,949.83 = 2,368/x
  3. Step 3: Cross multiply
    7,298.97x = 10,949.83 × 2,368
  4. Step 4: Simplify right side
    7,298.97x = 25,929,197.44
  5. Step 5: Solve for x
    x = 25,929,197.44/7,298.97
  6. Step 6: Final answer
    x = 3,552.45

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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.