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Finding the Fourth Proportional to 12,282.90, 16,948.36 and 6,975.78

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Solution

The fourth proportional to 12,282.90, 16,948.36 and 6,975.78 is: 9,625.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.90 : 16,948.36 = 6,975.78 : x
  2. Step 2: Convert to fraction form
    12,282.90/16,948.36 = 6,975.78/x
  3. Step 3: Cross multiply
    12,282.90x = 16,948.36 × 6,975.78
  4. Step 4: Simplify right side
    12,282.90x = 118,227,936.65
  5. Step 5: Solve for x
    x = 118,227,936.65/12,282.90
  6. Step 6: Final answer
    x = 9,625.41

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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.