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Finding the Fourth Proportional to 8,516.01, 12,763.20 and 3,831.02

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Solution

The fourth proportional to 8,516.01, 12,763.20 and 3,831.02 is: 5,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.01 : 12,763.20 = 3,831.02 : x
  2. Step 2: Convert to fraction form
    8,516.01/12,763.20 = 3,831.02/x
  3. Step 3: Cross multiply
    8,516.01x = 12,763.20 × 3,831.02
  4. Step 4: Simplify right side
    8,516.01x = 48,896,074.46
  5. Step 5: Solve for x
    x = 48,896,074.46/8,516.01
  6. Step 6: Final answer
    x = 5,741.66

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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.