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Finding the Fourth Proportional to 7,335.69, 11,006.05 and 2,142.33

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Solution

The fourth proportional to 7,335.69, 11,006.05 and 2,142.33 is: 3,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.69 : 11,006.05 = 2,142.33 : x
  2. Step 2: Convert to fraction form
    7,335.69/11,006.05 = 2,142.33/x
  3. Step 3: Cross multiply
    7,335.69x = 11,006.05 × 2,142.33
  4. Step 4: Simplify right side
    7,335.69x = 23,578,591.10
  5. Step 5: Solve for x
    x = 23,578,591.10/7,335.69
  6. Step 6: Final answer
    x = 3,214.23

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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.