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Finding the Fourth Proportional to 7,949.82, 10,970.03 and 4,719.09

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Solution

The fourth proportional to 7,949.82, 10,970.03 and 4,719.09 is: 6,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.82 : 10,970.03 = 4,719.09 : x
  2. Step 2: Convert to fraction form
    7,949.82/10,970.03 = 4,719.09/x
  3. Step 3: Cross multiply
    7,949.82x = 10,970.03 × 4,719.09
  4. Step 4: Simplify right side
    7,949.82x = 51,768,535.28
  5. Step 5: Solve for x
    x = 51,768,535.28/7,949.82
  6. Step 6: Final answer
    x = 6,511.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.