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Finding the Fourth Proportional to 7,757.13, 11,636.31 and 5,701.35

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Solution

The fourth proportional to 7,757.13, 11,636.31 and 5,701.35 is: 8,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.13 : 11,636.31 = 5,701.35 : x
  2. Step 2: Convert to fraction form
    7,757.13/11,636.31 = 5,701.35/x
  3. Step 3: Cross multiply
    7,757.13x = 11,636.31 × 5,701.35
  4. Step 4: Simplify right side
    7,757.13x = 66,342,676.02
  5. Step 5: Solve for x
    x = 66,342,676.02/7,757.13
  6. Step 6: Final answer
    x = 8,552.48

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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.