Home / 7,831.10-11,744.60-2,282.96

Finding the Fourth Proportional to 7,831.10, 11,744.60 and 2,282.96

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Solution

The fourth proportional to 7,831.10, 11,744.60 and 2,282.96 is: 3,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.10 : 11,744.60 = 2,282.96 : x
  2. Step 2: Convert to fraction form
    7,831.10/11,744.60 = 2,282.96/x
  3. Step 3: Cross multiply
    7,831.10x = 11,744.60 × 2,282.96
  4. Step 4: Simplify right side
    7,831.10x = 26,812,452.02
  5. Step 5: Solve for x
    x = 26,812,452.02/7,831.10
  6. Step 6: Final answer
    x = 3,423.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.