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Finding the Fourth Proportional to 8,816.56, 13,214.76 and 3,616

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Solution

The fourth proportional to 8,816.56, 13,214.76 and 3,616 is: 5,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,816.56 : 13,214.76 = 3,616 : x
  2. Step 2: Convert to fraction form
    8,816.56/13,214.76 = 3,616/x
  3. Step 3: Cross multiply
    8,816.56x = 13,214.76 × 3,616
  4. Step 4: Simplify right side
    8,816.56x = 47,784,572.16
  5. Step 5: Solve for x
    x = 47,784,572.16/8,816.56
  6. Step 6: Final answer
    x = 5,419.87

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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.