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Finding the Fourth Proportional to 10,731.36, 16,066.32 and 7,262.40

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Solution

The fourth proportional to 10,731.36, 16,066.32 and 7,262.40 is: 10,872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.36 : 16,066.32 = 7,262.40 : x
  2. Step 2: Convert to fraction form
    10,731.36/16,066.32 = 7,262.40/x
  3. Step 3: Cross multiply
    10,731.36x = 16,066.32 × 7,262.40
  4. Step 4: Simplify right side
    10,731.36x = 116,680,042.37
  5. Step 5: Solve for x
    x = 116,680,042.37/10,731.36
  6. Step 6: Final answer
    x = 10,872.81

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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.