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Finding the Fourth Proportional to 6,685.16, 10,037.59 and 3,729.38

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Solution

The fourth proportional to 6,685.16, 10,037.59 and 3,729.38 is: 5,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.16 : 10,037.59 = 3,729.38 : x
  2. Step 2: Convert to fraction form
    6,685.16/10,037.59 = 3,729.38/x
  3. Step 3: Cross multiply
    6,685.16x = 10,037.59 × 3,729.38
  4. Step 4: Simplify right side
    6,685.16x = 37,433,946.53
  5. Step 5: Solve for x
    x = 37,433,946.53/6,685.16
  6. Step 6: Final answer
    x = 5,599.56

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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.