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Finding the Fourth Proportional to 10,288.50, 14,183.55 and 7,311.15

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Solution

The fourth proportional to 10,288.50, 14,183.55 and 7,311.15 is: 10,079.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.50 : 14,183.55 = 7,311.15 : x
  2. Step 2: Convert to fraction form
    10,288.50/14,183.55 = 7,311.15/x
  3. Step 3: Cross multiply
    10,288.50x = 14,183.55 × 7,311.15
  4. Step 4: Simplify right side
    10,288.50x = 103,698,061.58
  5. Step 5: Solve for x
    x = 103,698,061.58/10,288.50
  6. Step 6: Final answer
    x = 10,079.03

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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.