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Finding the Fourth Proportional to 11,685.82, 16,127.59 and 6,907.34

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Solution

The fourth proportional to 11,685.82, 16,127.59 and 6,907.34 is: 9,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.82 : 16,127.59 = 6,907.34 : x
  2. Step 2: Convert to fraction form
    11,685.82/16,127.59 = 6,907.34/x
  3. Step 3: Cross multiply
    11,685.82x = 16,127.59 × 6,907.34
  4. Step 4: Simplify right side
    11,685.82x = 111,398,747.51
  5. Step 5: Solve for x
    x = 111,398,747.51/11,685.82
  6. Step 6: Final answer
    x = 9,532.81

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