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Finding the Fourth Proportional to 10,157.63, 15,238.35 and 4,611.36

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Solution

The fourth proportional to 10,157.63, 15,238.35 and 4,611.36 is: 6,917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.63 : 15,238.35 = 4,611.36 : x
  2. Step 2: Convert to fraction form
    10,157.63/15,238.35 = 4,611.36/x
  3. Step 3: Cross multiply
    10,157.63x = 15,238.35 × 4,611.36
  4. Step 4: Simplify right side
    10,157.63x = 70,269,517.66
  5. Step 5: Solve for x
    x = 70,269,517.66/10,157.63
  6. Step 6: Final answer
    x = 6,917.90

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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.