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Finding the Fourth Proportional to 7,184.62, 10,767.10 and 5,428.18

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Solution

The fourth proportional to 7,184.62, 10,767.10 and 5,428.18 is: 8,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.62 : 10,767.10 = 5,428.18 : x
  2. Step 2: Convert to fraction form
    7,184.62/10,767.10 = 5,428.18/x
  3. Step 3: Cross multiply
    7,184.62x = 10,767.10 × 5,428.18
  4. Step 4: Simplify right side
    7,184.62x = 58,445,756.88
  5. Step 5: Solve for x
    x = 58,445,756.88/7,184.62
  6. Step 6: Final answer
    x = 8,134.84

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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.