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Finding the Fourth Proportional to 11,482.97, 17,208 and 6,542.39

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Solution

The fourth proportional to 11,482.97, 17,208 and 6,542.39 is: 9,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.97 : 17,208 = 6,542.39 : x
  2. Step 2: Convert to fraction form
    11,482.97/17,208 = 6,542.39/x
  3. Step 3: Cross multiply
    11,482.97x = 17,208 × 6,542.39
  4. Step 4: Simplify right side
    11,482.97x = 112,581,490.14
  5. Step 5: Solve for x
    x = 112,581,490.14/11,482.97
  6. Step 6: Final answer
    x = 9,804.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.