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Finding the Fourth Proportional to 10,093.95, 15,138.68 and 3,429.99

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Solution

The fourth proportional to 10,093.95, 15,138.68 and 3,429.99 is: 5,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.95 : 15,138.68 = 3,429.99 : x
  2. Step 2: Convert to fraction form
    10,093.95/15,138.68 = 3,429.99/x
  3. Step 3: Cross multiply
    10,093.95x = 15,138.68 × 3,429.99
  4. Step 4: Simplify right side
    10,093.95x = 51,925,503.86
  5. Step 5: Solve for x
    x = 51,925,503.86/10,093.95
  6. Step 6: Final answer
    x = 5,144.22

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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.