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Finding the Fourth Proportional to 6,765.29, 10,136.32 and 6,080.50

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Solution

The fourth proportional to 6,765.29, 10,136.32 and 6,080.50 is: 9,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.29 : 10,136.32 = 6,080.50 : x
  2. Step 2: Convert to fraction form
    6,765.29/10,136.32 = 6,080.50/x
  3. Step 3: Cross multiply
    6,765.29x = 10,136.32 × 6,080.50
  4. Step 4: Simplify right side
    6,765.29x = 61,633,893.76
  5. Step 5: Solve for x
    x = 61,633,893.76/6,765.29
  6. Step 6: Final answer
    x = 9,110.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.