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Finding the Fourth Proportional to 7,113.90, 10,671.04 and 1,919.76

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Solution

The fourth proportional to 7,113.90, 10,671.04 and 1,919.76 is: 2,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.90 : 10,671.04 = 1,919.76 : x
  2. Step 2: Convert to fraction form
    7,113.90/10,671.04 = 1,919.76/x
  3. Step 3: Cross multiply
    7,113.90x = 10,671.04 × 1,919.76
  4. Step 4: Simplify right side
    7,113.90x = 20,485,835.75
  5. Step 5: Solve for x
    x = 20,485,835.75/7,113.90
  6. Step 6: Final answer
    x = 2,879.69

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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.