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Finding the Fourth Proportional to 11,181, 15,423.36 and 6,981.96

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Solution

The fourth proportional to 11,181, 15,423.36 and 6,981.96 is: 9,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181 : 15,423.36 = 6,981.96 : x
  2. Step 2: Convert to fraction form
    11,181/15,423.36 = 6,981.96/x
  3. Step 3: Cross multiply
    11,181x = 15,423.36 × 6,981.96
  4. Step 4: Simplify right side
    11,181x = 107,685,282.59
  5. Step 5: Solve for x
    x = 107,685,282.59/11,181
  6. Step 6: Final answer
    x = 9,631.10

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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.