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Finding the Fourth Proportional to 10,984.98, 15,160.05 and 6,269.97

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Solution

The fourth proportional to 10,984.98, 15,160.05 and 6,269.97 is: 8,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.98 : 15,160.05 = 6,269.97 : x
  2. Step 2: Convert to fraction form
    10,984.98/15,160.05 = 6,269.97/x
  3. Step 3: Cross multiply
    10,984.98x = 15,160.05 × 6,269.97
  4. Step 4: Simplify right side
    10,984.98x = 95,053,058.70
  5. Step 5: Solve for x
    x = 95,053,058.70/10,984.98
  6. Step 6: Final answer
    x = 8,653.00

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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.