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Finding the Fourth Proportional to 10,157.44, 15,230.50 and 3,135.46

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Solution

The fourth proportional to 10,157.44, 15,230.50 and 3,135.46 is: 4,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.44 : 15,230.50 = 3,135.46 : x
  2. Step 2: Convert to fraction form
    10,157.44/15,230.50 = 3,135.46/x
  3. Step 3: Cross multiply
    10,157.44x = 15,230.50 × 3,135.46
  4. Step 4: Simplify right side
    10,157.44x = 47,754,623.53
  5. Step 5: Solve for x
    x = 47,754,623.53/10,157.44
  6. Step 6: Final answer
    x = 4,701.44

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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.