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Finding the Fourth Proportional to 7,932.42, 10,936.08 and 6,808.50

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Solution

The fourth proportional to 7,932.42, 10,936.08 and 6,808.50 is: 9,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.42 : 10,936.08 = 6,808.50 : x
  2. Step 2: Convert to fraction form
    7,932.42/10,936.08 = 6,808.50/x
  3. Step 3: Cross multiply
    7,932.42x = 10,936.08 × 6,808.50
  4. Step 4: Simplify right side
    7,932.42x = 74,458,300.68
  5. Step 5: Solve for x
    x = 74,458,300.68/7,932.42
  6. Step 6: Final answer
    x = 9,386.58

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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.