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Finding the Fourth Proportional to 7,160.31, 10,739.01 and 3,263.79

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Solution

The fourth proportional to 7,160.31, 10,739.01 and 3,263.79 is: 4,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.31 : 10,739.01 = 3,263.79 : x
  2. Step 2: Convert to fraction form
    7,160.31/10,739.01 = 3,263.79/x
  3. Step 3: Cross multiply
    7,160.31x = 10,739.01 × 3,263.79
  4. Step 4: Simplify right side
    7,160.31x = 35,049,873.45
  5. Step 5: Solve for x
    x = 35,049,873.45/7,160.31
  6. Step 6: Final answer
    x = 4,895.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.