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Finding the Fourth Proportional to 11,145.64, 15,380.98 and 6,109.72

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Solution

The fourth proportional to 11,145.64, 15,380.98 and 6,109.72 is: 8,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.64 : 15,380.98 = 6,109.72 : x
  2. Step 2: Convert to fraction form
    11,145.64/15,380.98 = 6,109.72/x
  3. Step 3: Cross multiply
    11,145.64x = 15,380.98 × 6,109.72
  4. Step 4: Simplify right side
    11,145.64x = 93,973,481.13
  5. Step 5: Solve for x
    x = 93,973,481.13/11,145.64
  6. Step 6: Final answer
    x = 8,431.41

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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.