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Finding the Fourth Proportional to 11,512.99, 17,240.32 and 7,117.12

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Solution

The fourth proportional to 11,512.99, 17,240.32 and 7,117.12 is: 10,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.99 : 17,240.32 = 7,117.12 : x
  2. Step 2: Convert to fraction form
    11,512.99/17,240.32 = 7,117.12/x
  3. Step 3: Cross multiply
    11,512.99x = 17,240.32 × 7,117.12
  4. Step 4: Simplify right side
    11,512.99x = 122,701,426.28
  5. Step 5: Solve for x
    x = 122,701,426.28/11,512.99
  6. Step 6: Final answer
    x = 10,657.65

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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.