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Finding the Fourth Proportional to 7,587.54, 11,381.31 and 3,205.62

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Solution

The fourth proportional to 7,587.54, 11,381.31 and 3,205.62 is: 4,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.54 : 11,381.31 = 3,205.62 : x
  2. Step 2: Convert to fraction form
    7,587.54/11,381.31 = 3,205.62/x
  3. Step 3: Cross multiply
    7,587.54x = 11,381.31 × 3,205.62
  4. Step 4: Simplify right side
    7,587.54x = 36,484,154.96
  5. Step 5: Solve for x
    x = 36,484,154.96/7,587.54
  6. Step 6: Final answer
    x = 4,808.43

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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.