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Finding the Fourth Proportional to 7,652.41, 11,477.94 and 2,105.58

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Solution

The fourth proportional to 7,652.41, 11,477.94 and 2,105.58 is: 3,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.41 : 11,477.94 = 2,105.58 : x
  2. Step 2: Convert to fraction form
    7,652.41/11,477.94 = 2,105.58/x
  3. Step 3: Cross multiply
    7,652.41x = 11,477.94 × 2,105.58
  4. Step 4: Simplify right side
    7,652.41x = 24,167,720.91
  5. Step 5: Solve for x
    x = 24,167,720.91/7,652.41
  6. Step 6: Final answer
    x = 3,158.18

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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.