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Finding the Fourth Proportional to 7,296.97, 10,946.83 and 2,366

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Solution

The fourth proportional to 7,296.97, 10,946.83 and 2,366 is: 3,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.97 : 10,946.83 = 2,366 : x
  2. Step 2: Convert to fraction form
    7,296.97/10,946.83 = 2,366/x
  3. Step 3: Cross multiply
    7,296.97x = 10,946.83 × 2,366
  4. Step 4: Simplify right side
    7,296.97x = 25,900,199.78
  5. Step 5: Solve for x
    x = 25,900,199.78/7,296.97
  6. Step 6: Final answer
    x = 3,549.45

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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.