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Finding the Fourth Proportional to 8,342.63, 12,516.44 and 4,831.82

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Solution

The fourth proportional to 8,342.63, 12,516.44 and 4,831.82 is: 7,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.63 : 12,516.44 = 4,831.82 : x
  2. Step 2: Convert to fraction form
    8,342.63/12,516.44 = 4,831.82/x
  3. Step 3: Cross multiply
    8,342.63x = 12,516.44 × 4,831.82
  4. Step 4: Simplify right side
    8,342.63x = 60,477,098.38
  5. Step 5: Solve for x
    x = 60,477,098.38/8,342.63
  6. Step 6: Final answer
    x = 7,249.17

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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.