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Finding the Fourth Proportional to 7,134.59, 10,697.33 and 3,429.45

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Solution

The fourth proportional to 7,134.59, 10,697.33 and 3,429.45 is: 5,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.59 : 10,697.33 = 3,429.45 : x
  2. Step 2: Convert to fraction form
    7,134.59/10,697.33 = 3,429.45/x
  3. Step 3: Cross multiply
    7,134.59x = 10,697.33 × 3,429.45
  4. Step 4: Simplify right side
    7,134.59x = 36,685,958.37
  5. Step 5: Solve for x
    x = 36,685,958.37/7,134.59
  6. Step 6: Final answer
    x = 5,141.99

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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.