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Finding the Fourth Proportional to 10,143.46, 15,215.19 and 4,944.88

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Solution

The fourth proportional to 10,143.46, 15,215.19 and 4,944.88 is: 7,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.46 : 15,215.19 = 4,944.88 : x
  2. Step 2: Convert to fraction form
    10,143.46/15,215.19 = 4,944.88/x
  3. Step 3: Cross multiply
    10,143.46x = 15,215.19 × 4,944.88
  4. Step 4: Simplify right side
    10,143.46x = 75,237,187.93
  5. Step 5: Solve for x
    x = 75,237,187.93/10,143.46
  6. Step 6: Final answer
    x = 7,417.31

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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.