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Finding the Fourth Proportional to 7,612.16, 11,396.32 and 5,624.42

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Solution

The fourth proportional to 7,612.16, 11,396.32 and 5,624.42 is: 8,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.16 : 11,396.32 = 5,624.42 : x
  2. Step 2: Convert to fraction form
    7,612.16/11,396.32 = 5,624.42/x
  3. Step 3: Cross multiply
    7,612.16x = 11,396.32 × 5,624.42
  4. Step 4: Simplify right side
    7,612.16x = 64,097,619.09
  5. Step 5: Solve for x
    x = 64,097,619.09/7,612.16
  6. Step 6: Final answer
    x = 8,420.43

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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.