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Finding the Fourth Proportional to 7,146.84, 10,721.80 and 2,216.38

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Solution

The fourth proportional to 7,146.84, 10,721.80 and 2,216.38 is: 3,325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.84 : 10,721.80 = 2,216.38 : x
  2. Step 2: Convert to fraction form
    7,146.84/10,721.80 = 2,216.38/x
  3. Step 3: Cross multiply
    7,146.84x = 10,721.80 × 2,216.38
  4. Step 4: Simplify right side
    7,146.84x = 23,763,583.08
  5. Step 5: Solve for x
    x = 23,763,583.08/7,146.84
  6. Step 6: Final answer
    x = 3,325.05

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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.