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Finding the Fourth Proportional to 7,756.74, 11,615.67 and 6,122.16

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Solution

The fourth proportional to 7,756.74, 11,615.67 and 6,122.16 is: 9,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.74 : 11,615.67 = 6,122.16 : x
  2. Step 2: Convert to fraction form
    7,756.74/11,615.67 = 6,122.16/x
  3. Step 3: Cross multiply
    7,756.74x = 11,615.67 × 6,122.16
  4. Step 4: Simplify right side
    7,756.74x = 71,112,990.25
  5. Step 5: Solve for x
    x = 71,112,990.25/7,756.74
  6. Step 6: Final answer
    x = 9,167.90

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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.