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Finding the Fourth Proportional to 12,576.75, 17,356.46 and 6,987.75

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Solution

The fourth proportional to 12,576.75, 17,356.46 and 6,987.75 is: 9,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.75 : 17,356.46 = 6,987.75 : x
  2. Step 2: Convert to fraction form
    12,576.75/17,356.46 = 6,987.75/x
  3. Step 3: Cross multiply
    12,576.75x = 17,356.46 × 6,987.75
  4. Step 4: Simplify right side
    12,576.75x = 121,282,568.43
  5. Step 5: Solve for x
    x = 121,282,568.43/12,576.75
  6. Step 6: Final answer
    x = 9,643.40

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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.