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Finding the Fourth Proportional to 8,289.84, 11,439.92 and 4,753.36

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Solution

The fourth proportional to 8,289.84, 11,439.92 and 4,753.36 is: 6,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.84 : 11,439.92 = 4,753.36 : x
  2. Step 2: Convert to fraction form
    8,289.84/11,439.92 = 4,753.36/x
  3. Step 3: Cross multiply
    8,289.84x = 11,439.92 × 4,753.36
  4. Step 4: Simplify right side
    8,289.84x = 54,378,058.13
  5. Step 5: Solve for x
    x = 54,378,058.13/8,289.84
  6. Step 6: Final answer
    x = 6,559.60

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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.