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Finding the Fourth Proportional to 11,145.42, 15,381.05 and 6,109.65

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Solution

The fourth proportional to 11,145.42, 15,381.05 and 6,109.65 is: 8,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.42 : 15,381.05 = 6,109.65 : x
  2. Step 2: Convert to fraction form
    11,145.42/15,381.05 = 6,109.65/x
  3. Step 3: Cross multiply
    11,145.42x = 15,381.05 × 6,109.65
  4. Step 4: Simplify right side
    11,145.42x = 93,972,801.58
  5. Step 5: Solve for x
    x = 93,972,801.58/11,145.42
  6. Step 6: Final answer
    x = 8,431.52

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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.