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Finding the Fourth Proportional to 12,283.78, 16,952.07 and 6,979.50

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Solution

The fourth proportional to 12,283.78, 16,952.07 and 6,979.50 is: 9,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.78 : 16,952.07 = 6,979.50 : x
  2. Step 2: Convert to fraction form
    12,283.78/16,952.07 = 6,979.50/x
  3. Step 3: Cross multiply
    12,283.78x = 16,952.07 × 6,979.50
  4. Step 4: Simplify right side
    12,283.78x = 118,316,972.57
  5. Step 5: Solve for x
    x = 118,316,972.57/12,283.78
  6. Step 6: Final answer
    x = 9,631.97

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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.