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Finding the Fourth Proportional to 6,937.61, 10,408.10 and 3,816.14

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Solution

The fourth proportional to 6,937.61, 10,408.10 and 3,816.14 is: 5,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.61 : 10,408.10 = 3,816.14 : x
  2. Step 2: Convert to fraction form
    6,937.61/10,408.10 = 3,816.14/x
  3. Step 3: Cross multiply
    6,937.61x = 10,408.10 × 3,816.14
  4. Step 4: Simplify right side
    6,937.61x = 39,718,695.61
  5. Step 5: Solve for x
    x = 39,718,695.61/6,937.61
  6. Step 6: Final answer
    x = 5,725.13

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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.