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Finding the Fourth Proportional to 11,498.63, 17,252.10 and 5,659.34

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Solution

The fourth proportional to 11,498.63, 17,252.10 and 5,659.34 is: 8,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.63 : 17,252.10 = 5,659.34 : x
  2. Step 2: Convert to fraction form
    11,498.63/17,252.10 = 5,659.34/x
  3. Step 3: Cross multiply
    11,498.63x = 17,252.10 × 5,659.34
  4. Step 4: Simplify right side
    11,498.63x = 97,635,413.35
  5. Step 5: Solve for x
    x = 97,635,413.35/11,498.63
  6. Step 6: Final answer
    x = 8,491.05

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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.