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Finding the Fourth Proportional to 10,157.28, 15,237.12 and 4,310.64

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Solution

The fourth proportional to 10,157.28, 15,237.12 and 4,310.64 is: 6,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.28 : 15,237.12 = 4,310.64 : x
  2. Step 2: Convert to fraction form
    10,157.28/15,237.12 = 4,310.64/x
  3. Step 3: Cross multiply
    10,157.28x = 15,237.12 × 4,310.64
  4. Step 4: Simplify right side
    10,157.28x = 65,681,738.96
  5. Step 5: Solve for x
    x = 65,681,738.96/10,157.28
  6. Step 6: Final answer
    x = 6,466.47

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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.