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Finding the Fourth Proportional to 6,813.47, 10,212.71 and 3,885.32

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Solution

The fourth proportional to 6,813.47, 10,212.71 and 3,885.32 is: 5,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.47 : 10,212.71 = 3,885.32 : x
  2. Step 2: Convert to fraction form
    6,813.47/10,212.71 = 3,885.32/x
  3. Step 3: Cross multiply
    6,813.47x = 10,212.71 × 3,885.32
  4. Step 4: Simplify right side
    6,813.47x = 39,679,575.93
  5. Step 5: Solve for x
    x = 39,679,575.93/6,813.47
  6. Step 6: Final answer
    x = 5,823.70

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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.