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Finding the Fourth Proportional to 7,844.05, 11,766.08 and 6,548.05

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Solution

The fourth proportional to 7,844.05, 11,766.08 and 6,548.05 is: 9,822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.05 : 11,766.08 = 6,548.05 : x
  2. Step 2: Convert to fraction form
    7,844.05/11,766.08 = 6,548.05/x
  3. Step 3: Cross multiply
    7,844.05x = 11,766.08 × 6,548.05
  4. Step 4: Simplify right side
    7,844.05x = 77,044,847.40
  5. Step 5: Solve for x
    x = 77,044,847.40/7,844.05
  6. Step 6: Final answer
    x = 9,822.08

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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.