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Finding the Fourth Proportional to 7,378.16, 11,064.12 and 2,446.48

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Solution

The fourth proportional to 7,378.16, 11,064.12 and 2,446.48 is: 3,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.16 : 11,064.12 = 2,446.48 : x
  2. Step 2: Convert to fraction form
    7,378.16/11,064.12 = 2,446.48/x
  3. Step 3: Cross multiply
    7,378.16x = 11,064.12 × 2,446.48
  4. Step 4: Simplify right side
    7,378.16x = 27,068,148.30
  5. Step 5: Solve for x
    x = 27,068,148.30/7,378.16
  6. Step 6: Final answer
    x = 3,668.69

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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.