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Finding the Fourth Proportional to 7,523.50, 10,382.44 and 4,211.50

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Solution

The fourth proportional to 7,523.50, 10,382.44 and 4,211.50 is: 5,811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.50 : 10,382.44 = 4,211.50 : x
  2. Step 2: Convert to fraction form
    7,523.50/10,382.44 = 4,211.50/x
  3. Step 3: Cross multiply
    7,523.50x = 10,382.44 × 4,211.50
  4. Step 4: Simplify right side
    7,523.50x = 43,725,646.06
  5. Step 5: Solve for x
    x = 43,725,646.06/7,523.50
  6. Step 6: Final answer
    x = 5,811.88

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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.