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Finding the Fourth Proportional to 8,159.94, 12,248.01 and 3,778.38

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Solution

The fourth proportional to 8,159.94, 12,248.01 and 3,778.38 is: 5,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.94 : 12,248.01 = 3,778.38 : x
  2. Step 2: Convert to fraction form
    8,159.94/12,248.01 = 3,778.38/x
  3. Step 3: Cross multiply
    8,159.94x = 12,248.01 × 3,778.38
  4. Step 4: Simplify right side
    8,159.94x = 46,277,636.02
  5. Step 5: Solve for x
    x = 46,277,636.02/8,159.94
  6. Step 6: Final answer
    x = 5,671.32

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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.