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Finding the Fourth Proportional to 8,503.36, 11,737.84 and 4,967.71

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Solution

The fourth proportional to 8,503.36, 11,737.84 and 4,967.71 is: 6,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.36 : 11,737.84 = 4,967.71 : x
  2. Step 2: Convert to fraction form
    8,503.36/11,737.84 = 4,967.71/x
  3. Step 3: Cross multiply
    8,503.36x = 11,737.84 × 4,967.71
  4. Step 4: Simplify right side
    8,503.36x = 58,310,185.15
  5. Step 5: Solve for x
    x = 58,310,185.15/8,503.36
  6. Step 6: Final answer
    x = 6,857.31

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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.