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Finding the Fourth Proportional to 11,827.99, 17,746.17 and 5,253.58

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Solution

The fourth proportional to 11,827.99, 17,746.17 and 5,253.58 is: 7,882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.99 : 17,746.17 = 5,253.58 : x
  2. Step 2: Convert to fraction form
    11,827.99/17,746.17 = 5,253.58/x
  3. Step 3: Cross multiply
    11,827.99x = 17,746.17 × 5,253.58
  4. Step 4: Simplify right side
    11,827.99x = 93,230,923.79
  5. Step 5: Solve for x
    x = 93,230,923.79/11,827.99
  6. Step 6: Final answer
    x = 7,882.23

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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.