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Finding the Fourth Proportional to 7,446.62, 11,152.80 and 4,152.42

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Solution

The fourth proportional to 7,446.62, 11,152.80 and 4,152.42 is: 6,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.62 : 11,152.80 = 4,152.42 : x
  2. Step 2: Convert to fraction form
    7,446.62/11,152.80 = 4,152.42/x
  3. Step 3: Cross multiply
    7,446.62x = 11,152.80 × 4,152.42
  4. Step 4: Simplify right side
    7,446.62x = 46,311,109.78
  5. Step 5: Solve for x
    x = 46,311,109.78/7,446.62
  6. Step 6: Final answer
    x = 6,219.08

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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.