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Finding the Fourth Proportional to 8,505.87, 11,736.32 and 5,148.02

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Solution

The fourth proportional to 8,505.87, 11,736.32 and 5,148.02 is: 7,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.87 : 11,736.32 = 5,148.02 : x
  2. Step 2: Convert to fraction form
    8,505.87/11,736.32 = 5,148.02/x
  3. Step 3: Cross multiply
    8,505.87x = 11,736.32 × 5,148.02
  4. Step 4: Simplify right side
    8,505.87x = 60,418,725.66
  5. Step 5: Solve for x
    x = 60,418,725.66/8,505.87
  6. Step 6: Final answer
    x = 7,103.18

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Why These Related Problems?

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