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Finding the Fourth Proportional to 10,196.76, 15,290.10 and 3,622.02

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Solution

The fourth proportional to 10,196.76, 15,290.10 and 3,622.02 is: 5,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.76 : 15,290.10 = 3,622.02 : x
  2. Step 2: Convert to fraction form
    10,196.76/15,290.10 = 3,622.02/x
  3. Step 3: Cross multiply
    10,196.76x = 15,290.10 × 3,622.02
  4. Step 4: Simplify right side
    10,196.76x = 55,381,048.00
  5. Step 5: Solve for x
    x = 55,381,048.00/10,196.76
  6. Step 6: Final answer
    x = 5,431.24

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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.