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Finding the Fourth Proportional to 11,400.49, 17,096.59 and 4,827.13

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Solution

The fourth proportional to 11,400.49, 17,096.59 and 4,827.13 is: 7,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.49 : 17,096.59 = 4,827.13 : x
  2. Step 2: Convert to fraction form
    11,400.49/17,096.59 = 4,827.13/x
  3. Step 3: Cross multiply
    11,400.49x = 17,096.59 × 4,827.13
  4. Step 4: Simplify right side
    11,400.49x = 82,527,462.49
  5. Step 5: Solve for x
    x = 82,527,462.49/11,400.49
  6. Step 6: Final answer
    x = 7,238.94

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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.