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Finding the Fourth Proportional to 7,998.71, 11,041.75 and 5,167.46

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Solution

The fourth proportional to 7,998.71, 11,041.75 and 5,167.46 is: 7,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.71 : 11,041.75 = 5,167.46 : x
  2. Step 2: Convert to fraction form
    7,998.71/11,041.75 = 5,167.46/x
  3. Step 3: Cross multiply
    7,998.71x = 11,041.75 × 5,167.46
  4. Step 4: Simplify right side
    7,998.71x = 57,057,801.46
  5. Step 5: Solve for x
    x = 57,057,801.46/7,998.71
  6. Step 6: Final answer
    x = 7,133.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.