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Finding the Fourth Proportional to 11,145.08, 15,380.82 and 6,109.16

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Solution

The fourth proportional to 11,145.08, 15,380.82 and 6,109.16 is: 8,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.08 : 15,380.82 = 6,109.16 : x
  2. Step 2: Convert to fraction form
    11,145.08/15,380.82 = 6,109.16/x
  3. Step 3: Cross multiply
    11,145.08x = 15,380.82 × 6,109.16
  4. Step 4: Simplify right side
    11,145.08x = 93,963,890.31
  5. Step 5: Solve for x
    x = 93,963,890.31/11,145.08
  6. Step 6: Final answer
    x = 8,430.97

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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.