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Finding the Fourth Proportional to 7,378.92, 11,068.35 and 1,832.16

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Solution

The fourth proportional to 7,378.92, 11,068.35 and 1,832.16 is: 2,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.92 : 11,068.35 = 1,832.16 : x
  2. Step 2: Convert to fraction form
    7,378.92/11,068.35 = 1,832.16/x
  3. Step 3: Cross multiply
    7,378.92x = 11,068.35 × 1,832.16
  4. Step 4: Simplify right side
    7,378.92x = 20,278,988.14
  5. Step 5: Solve for x
    x = 20,278,988.14/7,378.92
  6. Step 6: Final answer
    x = 2,748.23

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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.