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Finding the Fourth Proportional to 7,078.17, 10,617.39 and 1,884

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Solution

The fourth proportional to 7,078.17, 10,617.39 and 1,884 is: 2,826.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.17 : 10,617.39 = 1,884 : x
  2. Step 2: Convert to fraction form
    7,078.17/10,617.39 = 1,884/x
  3. Step 3: Cross multiply
    7,078.17x = 10,617.39 × 1,884
  4. Step 4: Simplify right side
    7,078.17x = 20,003,162.76
  5. Step 5: Solve for x
    x = 20,003,162.76/7,078.17
  6. Step 6: Final answer
    x = 2,826.04

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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.