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Finding the Fourth Proportional to 8,441.24, 12,663.54 and 2,597.63

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Solution

The fourth proportional to 8,441.24, 12,663.54 and 2,597.63 is: 3,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.24 : 12,663.54 = 2,597.63 : x
  2. Step 2: Convert to fraction form
    8,441.24/12,663.54 = 2,597.63/x
  3. Step 3: Cross multiply
    8,441.24x = 12,663.54 × 2,597.63
  4. Step 4: Simplify right side
    8,441.24x = 32,895,128.09
  5. Step 5: Solve for x
    x = 32,895,128.09/8,441.24
  6. Step 6: Final answer
    x = 3,896.96

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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.