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Finding the Fourth Proportional to 10,941.84, 15,105.96 and 7,226.64

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Solution

The fourth proportional to 10,941.84, 15,105.96 and 7,226.64 is: 9,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.84 : 15,105.96 = 7,226.64 : x
  2. Step 2: Convert to fraction form
    10,941.84/15,105.96 = 7,226.64/x
  3. Step 3: Cross multiply
    10,941.84x = 15,105.96 × 7,226.64
  4. Step 4: Simplify right side
    10,941.84x = 109,165,334.77
  5. Step 5: Solve for x
    x = 109,165,334.77/10,941.84
  6. Step 6: Final answer
    x = 9,976.87

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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.