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Finding the Fourth Proportional to 10,196.98, 15,292.94 and 2,801.07

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Solution

The fourth proportional to 10,196.98, 15,292.94 and 2,801.07 is: 4,200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.98 : 15,292.94 = 2,801.07 : x
  2. Step 2: Convert to fraction form
    10,196.98/15,292.94 = 2,801.07/x
  3. Step 3: Cross multiply
    10,196.98x = 15,292.94 × 2,801.07
  4. Step 4: Simplify right side
    10,196.98x = 42,836,581.44
  5. Step 5: Solve for x
    x = 42,836,581.44/10,196.98
  6. Step 6: Final answer
    x = 4,200.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.