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Finding the Fourth Proportional to 12,666, 17,479.08 and 7,077

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Solution

The fourth proportional to 12,666, 17,479.08 and 7,077 is: 9,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666 : 17,479.08 = 7,077 : x
  2. Step 2: Convert to fraction form
    12,666/17,479.08 = 7,077/x
  3. Step 3: Cross multiply
    12,666x = 17,479.08 × 7,077
  4. Step 4: Simplify right side
    12,666x = 123,699,449.16
  5. Step 5: Solve for x
    x = 123,699,449.16/12,666
  6. Step 6: Final answer
    x = 9,766.26

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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.