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Finding the Fourth Proportional to 7,806.08, 11,694.40 and 6,066.24

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Solution

The fourth proportional to 7,806.08, 11,694.40 and 6,066.24 is: 9,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.08 : 11,694.40 = 6,066.24 : x
  2. Step 2: Convert to fraction form
    7,806.08/11,694.40 = 6,066.24/x
  3. Step 3: Cross multiply
    7,806.08x = 11,694.40 × 6,066.24
  4. Step 4: Simplify right side
    7,806.08x = 70,941,037.06
  5. Step 5: Solve for x
    x = 70,941,037.06/7,806.08
  6. Step 6: Final answer
    x = 9,087.92

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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.