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Finding the Fourth Proportional to 7,865.49, 11,798.34 and 2,318.94

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Solution

The fourth proportional to 7,865.49, 11,798.34 and 2,318.94 is: 3,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.49 : 11,798.34 = 2,318.94 : x
  2. Step 2: Convert to fraction form
    7,865.49/11,798.34 = 2,318.94/x
  3. Step 3: Cross multiply
    7,865.49x = 11,798.34 × 2,318.94
  4. Step 4: Simplify right side
    7,865.49x = 27,359,642.56
  5. Step 5: Solve for x
    x = 27,359,642.56/7,865.49
  6. Step 6: Final answer
    x = 3,478.44

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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.