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Finding the Fourth Proportional to 7,424.84, 11,137.29 and 2,494.47

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Solution

The fourth proportional to 7,424.84, 11,137.29 and 2,494.47 is: 3,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424.84 : 11,137.29 = 2,494.47 : x
  2. Step 2: Convert to fraction form
    7,424.84/11,137.29 = 2,494.47/x
  3. Step 3: Cross multiply
    7,424.84x = 11,137.29 × 2,494.47
  4. Step 4: Simplify right side
    7,424.84x = 27,781,635.79
  5. Step 5: Solve for x
    x = 27,781,635.79/7,424.84
  6. Step 6: Final answer
    x = 3,741.72

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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.