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Finding the Fourth Proportional to 7,652.81, 11,468.44 and 6,085.85

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Solution

The fourth proportional to 7,652.81, 11,468.44 and 6,085.85 is: 9,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.81 : 11,468.44 = 6,085.85 : x
  2. Step 2: Convert to fraction form
    7,652.81/11,468.44 = 6,085.85/x
  3. Step 3: Cross multiply
    7,652.81x = 11,468.44 × 6,085.85
  4. Step 4: Simplify right side
    7,652.81x = 69,795,133.02
  5. Step 5: Solve for x
    x = 69,795,133.02/7,652.81
  6. Step 6: Final answer
    x = 9,120.20

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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.