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Finding the Fourth Proportional to 10,156.44, 15,229 and 3,134.46

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Solution

The fourth proportional to 10,156.44, 15,229 and 3,134.46 is: 4,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.44 : 15,229 = 3,134.46 : x
  2. Step 2: Convert to fraction form
    10,156.44/15,229 = 3,134.46/x
  3. Step 3: Cross multiply
    10,156.44x = 15,229 × 3,134.46
  4. Step 4: Simplify right side
    10,156.44x = 47,734,691.34
  5. Step 5: Solve for x
    x = 47,734,691.34/10,156.44
  6. Step 6: Final answer
    x = 4,699.94

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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.