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Finding the Fourth Proportional to 7,314.32, 10,970.84 and 2,119.44

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Solution

The fourth proportional to 7,314.32, 10,970.84 and 2,119.44 is: 3,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.32 : 10,970.84 = 2,119.44 : x
  2. Step 2: Convert to fraction form
    7,314.32/10,970.84 = 2,119.44/x
  3. Step 3: Cross multiply
    7,314.32x = 10,970.84 × 2,119.44
  4. Step 4: Simplify right side
    7,314.32x = 23,252,037.13
  5. Step 5: Solve for x
    x = 23,252,037.13/7,314.32
  6. Step 6: Final answer
    x = 3,178.97

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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.