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Finding the Fourth Proportional to 7,964.14, 11,944.66 and 7,569.01

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Solution

The fourth proportional to 7,964.14, 11,944.66 and 7,569.01 is: 11,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.14 : 11,944.66 = 7,569.01 : x
  2. Step 2: Convert to fraction form
    7,964.14/11,944.66 = 7,569.01/x
  3. Step 3: Cross multiply
    7,964.14x = 11,944.66 × 7,569.01
  4. Step 4: Simplify right side
    7,964.14x = 90,409,250.99
  5. Step 5: Solve for x
    x = 90,409,250.99/7,964.14
  6. Step 6: Final answer
    x = 11,352.04

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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.