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Finding the Fourth Proportional to 7,064.39, 10,596.67 and 2,134.08

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Solution

The fourth proportional to 7,064.39, 10,596.67 and 2,134.08 is: 3,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.39 : 10,596.67 = 2,134.08 : x
  2. Step 2: Convert to fraction form
    7,064.39/10,596.67 = 2,134.08/x
  3. Step 3: Cross multiply
    7,064.39x = 10,596.67 × 2,134.08
  4. Step 4: Simplify right side
    7,064.39x = 22,614,141.51
  5. Step 5: Solve for x
    x = 22,614,141.51/7,064.39
  6. Step 6: Final answer
    x = 3,201.15

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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.