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Finding the Fourth Proportional to 7,840.33, 11,754.46 and 6,798.90

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Solution

The fourth proportional to 7,840.33, 11,754.46 and 6,798.90 is: 10,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.33 : 11,754.46 = 6,798.90 : x
  2. Step 2: Convert to fraction form
    7,840.33/11,754.46 = 6,798.90/x
  3. Step 3: Cross multiply
    7,840.33x = 11,754.46 × 6,798.90
  4. Step 4: Simplify right side
    7,840.33x = 79,917,346.31
  5. Step 5: Solve for x
    x = 79,917,346.31/7,840.33
  6. Step 6: Final answer
    x = 10,193.11

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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.