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Finding the Fourth Proportional to 7,831.38, 11,733.39 and 6,523.54

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Solution

The fourth proportional to 7,831.38, 11,733.39 and 6,523.54 is: 9,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.38 : 11,733.39 = 6,523.54 : x
  2. Step 2: Convert to fraction form
    7,831.38/11,733.39 = 6,523.54/x
  3. Step 3: Cross multiply
    7,831.38x = 11,733.39 × 6,523.54
  4. Step 4: Simplify right side
    7,831.38x = 76,543,209.67
  5. Step 5: Solve for x
    x = 76,543,209.67/7,831.38
  6. Step 6: Final answer
    x = 9,773.91

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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.