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Finding the Fourth Proportional to 10,441.17, 15,662.40 and 4,201.17

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Solution

The fourth proportional to 10,441.17, 15,662.40 and 4,201.17 is: 6,302.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.17 : 15,662.40 = 4,201.17 : x
  2. Step 2: Convert to fraction form
    10,441.17/15,662.40 = 4,201.17/x
  3. Step 3: Cross multiply
    10,441.17x = 15,662.40 × 4,201.17
  4. Step 4: Simplify right side
    10,441.17x = 65,800,405.01
  5. Step 5: Solve for x
    x = 65,800,405.01/10,441.17
  6. Step 6: Final answer
    x = 6,302.01

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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.