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Finding the Fourth Proportional to 7,720.27, 11,552.73 and 6,683.84

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Solution

The fourth proportional to 7,720.27, 11,552.73 and 6,683.84 is: 10,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.27 : 11,552.73 = 6,683.84 : x
  2. Step 2: Convert to fraction form
    7,720.27/11,552.73 = 6,683.84/x
  3. Step 3: Cross multiply
    7,720.27x = 11,552.73 × 6,683.84
  4. Step 4: Simplify right side
    7,720.27x = 77,216,598.88
  5. Step 5: Solve for x
    x = 77,216,598.88/7,720.27
  6. Step 6: Final answer
    x = 10,001.80

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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.