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Finding the Fourth Proportional to 8,371.63, 12,543.63 and 5,894.38

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Solution

The fourth proportional to 8,371.63, 12,543.63 and 5,894.38 is: 8,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.63 : 12,543.63 = 5,894.38 : x
  2. Step 2: Convert to fraction form
    8,371.63/12,543.63 = 5,894.38/x
  3. Step 3: Cross multiply
    8,371.63x = 12,543.63 × 5,894.38
  4. Step 4: Simplify right side
    8,371.63x = 73,936,921.80
  5. Step 5: Solve for x
    x = 73,936,921.80/8,371.63
  6. Step 6: Final answer
    x = 8,831.84

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