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Finding the Fourth Proportional to 11,616.16, 17,426.40 and 5,372.05

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Solution

The fourth proportional to 11,616.16, 17,426.40 and 5,372.05 is: 8,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.16 : 17,426.40 = 5,372.05 : x
  2. Step 2: Convert to fraction form
    11,616.16/17,426.40 = 5,372.05/x
  3. Step 3: Cross multiply
    11,616.16x = 17,426.40 × 5,372.05
  4. Step 4: Simplify right side
    11,616.16x = 93,615,449.84
  5. Step 5: Solve for x
    x = 93,615,449.84/11,616.16
  6. Step 6: Final answer
    x = 8,059.07

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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.