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Finding the Fourth Proportional to 7,425.86, 11,137.03 and 2,159.46

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Solution

The fourth proportional to 7,425.86, 11,137.03 and 2,159.46 is: 3,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,425.86 : 11,137.03 = 2,159.46 : x
  2. Step 2: Convert to fraction form
    7,425.86/11,137.03 = 2,159.46/x
  3. Step 3: Cross multiply
    7,425.86x = 11,137.03 × 2,159.46
  4. Step 4: Simplify right side
    7,425.86x = 24,049,970.80
  5. Step 5: Solve for x
    x = 24,049,970.80/7,425.86
  6. Step 6: Final answer
    x = 3,238.68

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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.