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Finding the Fourth Proportional to 11,642.94, 17,470.08 and 5,800.41

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Solution

The fourth proportional to 11,642.94, 17,470.08 and 5,800.41 is: 8,703.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.94 : 17,470.08 = 5,800.41 : x
  2. Step 2: Convert to fraction form
    11,642.94/17,470.08 = 5,800.41/x
  3. Step 3: Cross multiply
    11,642.94x = 17,470.08 × 5,800.41
  4. Step 4: Simplify right side
    11,642.94x = 101,333,626.73
  5. Step 5: Solve for x
    x = 101,333,626.73/11,642.94
  6. Step 6: Final answer
    x = 8,703.44

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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.