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Finding the Fourth Proportional to 7,296.24, 10,946.24 and 2,102.12

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Solution

The fourth proportional to 7,296.24, 10,946.24 and 2,102.12 is: 3,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.24 : 10,946.24 = 2,102.12 : x
  2. Step 2: Convert to fraction form
    7,296.24/10,946.24 = 2,102.12/x
  3. Step 3: Cross multiply
    7,296.24x = 10,946.24 × 2,102.12
  4. Step 4: Simplify right side
    7,296.24x = 23,010,310.03
  5. Step 5: Solve for x
    x = 23,010,310.03/7,296.24
  6. Step 6: Final answer
    x = 3,153.72

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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.