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Finding the Fourth Proportional to 11,132.94, 15,361 and 6,826.95

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Solution

The fourth proportional to 11,132.94, 15,361 and 6,826.95 is: 9,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.94 : 15,361 = 6,826.95 : x
  2. Step 2: Convert to fraction form
    11,132.94/15,361 = 6,826.95/x
  3. Step 3: Cross multiply
    11,132.94x = 15,361 × 6,826.95
  4. Step 4: Simplify right side
    11,132.94x = 104,868,778.95
  5. Step 5: Solve for x
    x = 104,868,778.95/11,132.94
  6. Step 6: Final answer
    x = 9,419.68

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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.