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Finding the Fourth Proportional to 7,752.50, 11,629.35 and 5,311.56

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Solution

The fourth proportional to 7,752.50, 11,629.35 and 5,311.56 is: 7,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.50 : 11,629.35 = 5,311.56 : x
  2. Step 2: Convert to fraction form
    7,752.50/11,629.35 = 5,311.56/x
  3. Step 3: Cross multiply
    7,752.50x = 11,629.35 × 5,311.56
  4. Step 4: Simplify right side
    7,752.50x = 61,769,990.29
  5. Step 5: Solve for x
    x = 61,769,990.29/7,752.50
  6. Step 6: Final answer
    x = 7,967.76

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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.