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Finding the Fourth Proportional to 10,852.80, 16,280.49 and 3,831.37

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Solution

The fourth proportional to 10,852.80, 16,280.49 and 3,831.37 is: 5,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.80 : 16,280.49 = 3,831.37 : x
  2. Step 2: Convert to fraction form
    10,852.80/16,280.49 = 3,831.37/x
  3. Step 3: Cross multiply
    10,852.80x = 16,280.49 × 3,831.37
  4. Step 4: Simplify right side
    10,852.80x = 62,376,554.64
  5. Step 5: Solve for x
    x = 62,376,554.64/10,852.80
  6. Step 6: Final answer
    x = 5,747.51

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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.