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Finding the Fourth Proportional to 11,656.26, 16,080.51 and 7,878.05

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Solution

The fourth proportional to 11,656.26, 16,080.51 and 7,878.05 is: 10,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.26 : 16,080.51 = 7,878.05 : x
  2. Step 2: Convert to fraction form
    11,656.26/16,080.51 = 7,878.05/x
  3. Step 3: Cross multiply
    11,656.26x = 16,080.51 × 7,878.05
  4. Step 4: Simplify right side
    11,656.26x = 126,682,981.40
  5. Step 5: Solve for x
    x = 126,682,981.40/11,656.26
  6. Step 6: Final answer
    x = 10,868.24

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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.