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Finding the Fourth Proportional to 10,093.79, 15,142.40 and 3,429.57

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Solution

The fourth proportional to 10,093.79, 15,142.40 and 3,429.57 is: 5,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.79 : 15,142.40 = 3,429.57 : x
  2. Step 2: Convert to fraction form
    10,093.79/15,142.40 = 3,429.57/x
  3. Step 3: Cross multiply
    10,093.79x = 15,142.40 × 3,429.57
  4. Step 4: Simplify right side
    10,093.79x = 51,931,903.62
  5. Step 5: Solve for x
    x = 51,931,903.62/10,093.79
  6. Step 6: Final answer
    x = 5,144.94

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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.