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Finding the Fourth Proportional to 8,369.44, 11,557.28 and 6,144

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Solution

The fourth proportional to 8,369.44, 11,557.28 and 6,144 is: 8,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.44 : 11,557.28 = 6,144 : x
  2. Step 2: Convert to fraction form
    8,369.44/11,557.28 = 6,144/x
  3. Step 3: Cross multiply
    8,369.44x = 11,557.28 × 6,144
  4. Step 4: Simplify right side
    8,369.44x = 71,007,928.32
  5. Step 5: Solve for x
    x = 71,007,928.32/8,369.44
  6. Step 6: Final answer
    x = 8,484.19

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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.