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Finding the Fourth Proportional to 7,219.68, 10,825.14 and 2,831.88

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Solution

The fourth proportional to 7,219.68, 10,825.14 and 2,831.88 is: 4,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.68 : 10,825.14 = 2,831.88 : x
  2. Step 2: Convert to fraction form
    7,219.68/10,825.14 = 2,831.88/x
  3. Step 3: Cross multiply
    7,219.68x = 10,825.14 × 2,831.88
  4. Step 4: Simplify right side
    7,219.68x = 30,655,497.46
  5. Step 5: Solve for x
    x = 30,655,497.46/7,219.68
  6. Step 6: Final answer
    x = 4,246.10

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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.