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Finding the Fourth Proportional to 7,184.60, 10,776.89 and 2,254.62

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Solution

The fourth proportional to 7,184.60, 10,776.89 and 2,254.62 is: 3,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.60 : 10,776.89 = 2,254.62 : x
  2. Step 2: Convert to fraction form
    7,184.60/10,776.89 = 2,254.62/x
  3. Step 3: Cross multiply
    7,184.60x = 10,776.89 × 2,254.62
  4. Step 4: Simplify right side
    7,184.60x = 24,297,829.33
  5. Step 5: Solve for x
    x = 24,297,829.33/7,184.60
  6. Step 6: Final answer
    x = 3,381.93

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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.