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Finding the Fourth Proportional to 11,339.52, 16,986.24 and 5,856

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Solution

The fourth proportional to 11,339.52, 16,986.24 and 5,856 is: 8,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.52 : 16,986.24 = 5,856 : x
  2. Step 2: Convert to fraction form
    11,339.52/16,986.24 = 5,856/x
  3. Step 3: Cross multiply
    11,339.52x = 16,986.24 × 5,856
  4. Step 4: Simplify right side
    11,339.52x = 99,471,421.44
  5. Step 5: Solve for x
    x = 99,471,421.44/11,339.52
  6. Step 6: Final answer
    x = 8,772.10

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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.