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Finding the Fourth Proportional to 11,340.02, 16,986.99 and 5,856.50

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Solution

The fourth proportional to 11,340.02, 16,986.99 and 5,856.50 is: 8,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.02 : 16,986.99 = 5,856.50 : x
  2. Step 2: Convert to fraction form
    11,340.02/16,986.99 = 5,856.50/x
  3. Step 3: Cross multiply
    11,340.02x = 16,986.99 × 5,856.50
  4. Step 4: Simplify right side
    11,340.02x = 99,484,306.94
  5. Step 5: Solve for x
    x = 99,484,306.94/11,340.02
  6. Step 6: Final answer
    x = 8,772.85

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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.