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Finding the Fourth Proportional to 11,145.66, 15,380.92 and 6,109.82

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Solution

The fourth proportional to 11,145.66, 15,380.92 and 6,109.82 is: 8,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.66 : 15,380.92 = 6,109.82 : x
  2. Step 2: Convert to fraction form
    11,145.66/15,380.92 = 6,109.82/x
  3. Step 3: Cross multiply
    11,145.66x = 15,380.92 × 6,109.82
  4. Step 4: Simplify right side
    11,145.66x = 93,974,652.63
  5. Step 5: Solve for x
    x = 93,974,652.63/11,145.66
  6. Step 6: Final answer
    x = 8,431.50

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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.