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Finding the Fourth Proportional to 6,966.16, 10,449.14 and 2,806.07

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Solution

The fourth proportional to 6,966.16, 10,449.14 and 2,806.07 is: 4,209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.16 : 10,449.14 = 2,806.07 : x
  2. Step 2: Convert to fraction form
    6,966.16/10,449.14 = 2,806.07/x
  3. Step 3: Cross multiply
    6,966.16x = 10,449.14 × 2,806.07
  4. Step 4: Simplify right side
    6,966.16x = 29,320,952.00
  5. Step 5: Solve for x
    x = 29,320,952.00/6,966.16
  6. Step 6: Final answer
    x = 4,209.05

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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.