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Finding the Fourth Proportional to 8,503.50, 11,734.83 and 4,777.50

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Solution

The fourth proportional to 8,503.50, 11,734.83 and 4,777.50 is: 6,592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.50 : 11,734.83 = 4,777.50 : x
  2. Step 2: Convert to fraction form
    8,503.50/11,734.83 = 4,777.50/x
  3. Step 3: Cross multiply
    8,503.50x = 11,734.83 × 4,777.50
  4. Step 4: Simplify right side
    8,503.50x = 56,063,150.33
  5. Step 5: Solve for x
    x = 56,063,150.33/8,503.50
  6. Step 6: Final answer
    x = 6,592.95

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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.