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Finding the Fourth Proportional to 8,416.02, 11,614.37 and 4,831.63

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Solution

The fourth proportional to 8,416.02, 11,614.37 and 4,831.63 is: 6,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.02 : 11,614.37 = 4,831.63 : x
  2. Step 2: Convert to fraction form
    8,416.02/11,614.37 = 4,831.63/x
  3. Step 3: Cross multiply
    8,416.02x = 11,614.37 × 4,831.63
  4. Step 4: Simplify right side
    8,416.02x = 56,116,338.52
  5. Step 5: Solve for x
    x = 56,116,338.52/8,416.02
  6. Step 6: Final answer
    x = 6,667.80

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