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Finding the Fourth Proportional to 7,524.28, 11,263.74 and 4,051

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Solution

The fourth proportional to 7,524.28, 11,263.74 and 4,051 is: 6,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.28 : 11,263.74 = 4,051 : x
  2. Step 2: Convert to fraction form
    7,524.28/11,263.74 = 4,051/x
  3. Step 3: Cross multiply
    7,524.28x = 11,263.74 × 4,051
  4. Step 4: Simplify right side
    7,524.28x = 45,629,410.74
  5. Step 5: Solve for x
    x = 45,629,410.74/7,524.28
  6. Step 6: Final answer
    x = 6,064.29

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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.