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Finding the Fourth Proportional to 8,831.94, 12,188.16 and 4,853.14

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Solution

The fourth proportional to 8,831.94, 12,188.16 and 4,853.14 is: 6,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,831.94 : 12,188.16 = 4,853.14 : x
  2. Step 2: Convert to fraction form
    8,831.94/12,188.16 = 4,853.14/x
  3. Step 3: Cross multiply
    8,831.94x = 12,188.16 × 4,853.14
  4. Step 4: Simplify right side
    8,831.94x = 59,150,846.82
  5. Step 5: Solve for x
    x = 59,150,846.82/8,831.94
  6. Step 6: Final answer
    x = 6,697.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.