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Finding the Fourth Proportional to 10,160.12, 15,235.31 and 4,313.54

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Solution

The fourth proportional to 10,160.12, 15,235.31 and 4,313.54 is: 6,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.12 : 15,235.31 = 4,313.54 : x
  2. Step 2: Convert to fraction form
    10,160.12/15,235.31 = 4,313.54/x
  3. Step 3: Cross multiply
    10,160.12x = 15,235.31 × 4,313.54
  4. Step 4: Simplify right side
    10,160.12x = 65,718,042.92
  5. Step 5: Solve for x
    x = 65,718,042.92/10,160.12
  6. Step 6: Final answer
    x = 6,468.24

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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.