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Finding the Fourth Proportional to 11,657.10, 16,080.48 and 6,940.47

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Solution

The fourth proportional to 11,657.10, 16,080.48 and 6,940.47 is: 9,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.10 : 16,080.48 = 6,940.47 : x
  2. Step 2: Convert to fraction form
    11,657.10/16,080.48 = 6,940.47/x
  3. Step 3: Cross multiply
    11,657.10x = 16,080.48 × 6,940.47
  4. Step 4: Simplify right side
    11,657.10x = 111,606,089.03
  5. Step 5: Solve for x
    x = 111,606,089.03/11,657.10
  6. Step 6: Final answer
    x = 9,574.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.