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Finding the Fourth Proportional to 11,077.94, 15,280.17 and 8,835.86

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Solution

The fourth proportional to 11,077.94, 15,280.17 and 8,835.86 is: 12,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.94 : 15,280.17 = 8,835.86 : x
  2. Step 2: Convert to fraction form
    11,077.94/15,280.17 = 8,835.86/x
  3. Step 3: Cross multiply
    11,077.94x = 15,280.17 × 8,835.86
  4. Step 4: Simplify right side
    11,077.94x = 135,013,442.90
  5. Step 5: Solve for x
    x = 135,013,442.90/11,077.94
  6. Step 6: Final answer
    x = 12,187.59

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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.