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Finding the Fourth Proportional to 7,918.80, 11,905.20 and 6,468.48

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Solution

The fourth proportional to 7,918.80, 11,905.20 and 6,468.48 is: 9,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.80 : 11,905.20 = 6,468.48 : x
  2. Step 2: Convert to fraction form
    7,918.80/11,905.20 = 6,468.48/x
  3. Step 3: Cross multiply
    7,918.80x = 11,905.20 × 6,468.48
  4. Step 4: Simplify right side
    7,918.80x = 77,008,548.10
  5. Step 5: Solve for x
    x = 77,008,548.10/7,918.80
  6. Step 6: Final answer
    x = 9,724.77

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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.