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Finding the Fourth Proportional to 8,618.86, 12,933.45 and 3,688.50

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Solution

The fourth proportional to 8,618.86, 12,933.45 and 3,688.50 is: 5,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,618.86 : 12,933.45 = 3,688.50 : x
  2. Step 2: Convert to fraction form
    8,618.86/12,933.45 = 3,688.50/x
  3. Step 3: Cross multiply
    8,618.86x = 12,933.45 × 3,688.50
  4. Step 4: Simplify right side
    8,618.86x = 47,705,046.49
  5. Step 5: Solve for x
    x = 47,705,046.49/8,618.86
  6. Step 6: Final answer
    x = 5,534.96

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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.