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Finding the Fourth Proportional to 10,441.57, 15,670.15 and 4,201.64

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Solution

The fourth proportional to 10,441.57, 15,670.15 and 4,201.64 is: 6,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.57 : 15,670.15 = 4,201.64 : x
  2. Step 2: Convert to fraction form
    10,441.57/15,670.15 = 4,201.64/x
  3. Step 3: Cross multiply
    10,441.57x = 15,670.15 × 4,201.64
  4. Step 4: Simplify right side
    10,441.57x = 65,840,308.04
  5. Step 5: Solve for x
    x = 65,840,308.04/10,441.57
  6. Step 6: Final answer
    x = 6,305.59

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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.