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Finding the Fourth Proportional to 7,312.78, 10,969.17 and 2,382.42

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Solution

The fourth proportional to 7,312.78, 10,969.17 and 2,382.42 is: 3,573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.78 : 10,969.17 = 2,382.42 : x
  2. Step 2: Convert to fraction form
    7,312.78/10,969.17 = 2,382.42/x
  3. Step 3: Cross multiply
    7,312.78x = 10,969.17 × 2,382.42
  4. Step 4: Simplify right side
    7,312.78x = 26,133,169.99
  5. Step 5: Solve for x
    x = 26,133,169.99/7,312.78
  6. Step 6: Final answer
    x = 3,573.63

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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.