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Finding the Fourth Proportional to 11,511.64, 17,256.54 and 7,339.94

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Solution

The fourth proportional to 11,511.64, 17,256.54 and 7,339.94 is: 11,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.64 : 17,256.54 = 7,339.94 : x
  2. Step 2: Convert to fraction form
    11,511.64/17,256.54 = 7,339.94/x
  3. Step 3: Cross multiply
    11,511.64x = 17,256.54 × 7,339.94
  4. Step 4: Simplify right side
    11,511.64x = 126,661,968.21
  5. Step 5: Solve for x
    x = 126,661,968.21/11,511.64
  6. Step 6: Final answer
    x = 11,002.95

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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.