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Finding the Fourth Proportional to 7,831.59, 10,806.82 and 4,846.33

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Solution

The fourth proportional to 7,831.59, 10,806.82 and 4,846.33 is: 6,687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.59 : 10,806.82 = 4,846.33 : x
  2. Step 2: Convert to fraction form
    7,831.59/10,806.82 = 4,846.33/x
  3. Step 3: Cross multiply
    7,831.59x = 10,806.82 × 4,846.33
  4. Step 4: Simplify right side
    7,831.59x = 52,373,417.36
  5. Step 5: Solve for x
    x = 52,373,417.36/7,831.59
  6. Step 6: Final answer
    x = 6,687.46

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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.