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Finding the Fourth Proportional to 8,122.62, 11,218.44 and 5,465.40

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Solution

The fourth proportional to 8,122.62, 11,218.44 and 5,465.40 is: 7,548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.62 : 11,218.44 = 5,465.40 : x
  2. Step 2: Convert to fraction form
    8,122.62/11,218.44 = 5,465.40/x
  3. Step 3: Cross multiply
    8,122.62x = 11,218.44 × 5,465.40
  4. Step 4: Simplify right side
    8,122.62x = 61,313,261.98
  5. Step 5: Solve for x
    x = 61,313,261.98/8,122.62
  6. Step 6: Final answer
    x = 7,548.46

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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.