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Finding the Fourth Proportional to 7,501.63, 11,252.63 and 2,571.24

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Solution

The fourth proportional to 7,501.63, 11,252.63 and 2,571.24 is: 3,856.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,501.63 : 11,252.63 = 2,571.24 : x
  2. Step 2: Convert to fraction form
    7,501.63/11,252.63 = 2,571.24/x
  3. Step 3: Cross multiply
    7,501.63x = 11,252.63 × 2,571.24
  4. Step 4: Simplify right side
    7,501.63x = 28,933,212.36
  5. Step 5: Solve for x
    x = 28,933,212.36/7,501.63
  6. Step 6: Final answer
    x = 3,856.92

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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.