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Finding the Fourth Proportional to 7,831.86, 10,808.01 and 4,246.85

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Solution

The fourth proportional to 7,831.86, 10,808.01 and 4,246.85 is: 5,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.86 : 10,808.01 = 4,246.85 : x
  2. Step 2: Convert to fraction form
    7,831.86/10,808.01 = 4,246.85/x
  3. Step 3: Cross multiply
    7,831.86x = 10,808.01 × 4,246.85
  4. Step 4: Simplify right side
    7,831.86x = 45,899,943.23
  5. Step 5: Solve for x
    x = 45,899,943.23/7,831.86
  6. Step 6: Final answer
    x = 5,860.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.