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Finding the Fourth Proportional to 6,874.39, 10,312.48 and 1,944.16

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Solution

The fourth proportional to 6,874.39, 10,312.48 and 1,944.16 is: 2,916.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.39 : 10,312.48 = 1,944.16 : x
  2. Step 2: Convert to fraction form
    6,874.39/10,312.48 = 1,944.16/x
  3. Step 3: Cross multiply
    6,874.39x = 10,312.48 × 1,944.16
  4. Step 4: Simplify right side
    6,874.39x = 20,049,116.77
  5. Step 5: Solve for x
    x = 20,049,116.77/6,874.39
  6. Step 6: Final answer
    x = 2,916.49

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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.