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Finding the Fourth Proportional to 11,185.71, 15,435.95 and 6,149.94

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Solution

The fourth proportional to 11,185.71, 15,435.95 and 6,149.94 is: 8,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.71 : 15,435.95 = 6,149.94 : x
  2. Step 2: Convert to fraction form
    11,185.71/15,435.95 = 6,149.94/x
  3. Step 3: Cross multiply
    11,185.71x = 15,435.95 × 6,149.94
  4. Step 4: Simplify right side
    11,185.71x = 94,930,058.41
  5. Step 5: Solve for x
    x = 94,930,058.41/11,185.71
  6. Step 6: Final answer
    x = 8,486.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.