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Finding the Fourth Proportional to 11,320.26, 16,978.13 and 5,696.43

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Solution

The fourth proportional to 11,320.26, 16,978.13 and 5,696.43 is: 8,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,320.26 : 16,978.13 = 5,696.43 : x
  2. Step 2: Convert to fraction form
    11,320.26/16,978.13 = 5,696.43/x
  3. Step 3: Cross multiply
    11,320.26x = 16,978.13 × 5,696.43
  4. Step 4: Simplify right side
    11,320.26x = 96,714,644.19
  5. Step 5: Solve for x
    x = 96,714,644.19/11,320.26
  6. Step 6: Final answer
    x = 8,543.50

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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.