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Finding the Fourth Proportional to 7,601.67, 11,389.43 and 6,831.27

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Solution

The fourth proportional to 7,601.67, 11,389.43 and 6,831.27 is: 10,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.67 : 11,389.43 = 6,831.27 : x
  2. Step 2: Convert to fraction form
    7,601.67/11,389.43 = 6,831.27/x
  3. Step 3: Cross multiply
    7,601.67x = 11,389.43 × 6,831.27
  4. Step 4: Simplify right side
    7,601.67x = 77,804,288.55
  5. Step 5: Solve for x
    x = 77,804,288.55/7,601.67
  6. Step 6: Final answer
    x = 10,235.16

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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.