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Finding the Fourth Proportional to 7,685.74, 11,518.62 and 5,831.38

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Solution

The fourth proportional to 7,685.74, 11,518.62 and 5,831.38 is: 8,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.74 : 11,518.62 = 5,831.38 : x
  2. Step 2: Convert to fraction form
    7,685.74/11,518.62 = 5,831.38/x
  3. Step 3: Cross multiply
    7,685.74x = 11,518.62 × 5,831.38
  4. Step 4: Simplify right side
    7,685.74x = 67,169,450.30
  5. Step 5: Solve for x
    x = 67,169,450.30/7,685.74
  6. Step 6: Final answer
    x = 8,739.49

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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.