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Finding the Fourth Proportional to 11,143.53, 15,377.99 and 6,107.69

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Solution

The fourth proportional to 11,143.53, 15,377.99 and 6,107.69 is: 8,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.53 : 15,377.99 = 6,107.69 : x
  2. Step 2: Convert to fraction form
    11,143.53/15,377.99 = 6,107.69/x
  3. Step 3: Cross multiply
    11,143.53x = 15,377.99 × 6,107.69
  4. Step 4: Simplify right side
    11,143.53x = 93,924,003.65
  5. Step 5: Solve for x
    x = 93,924,003.65/11,143.53
  6. Step 6: Final answer
    x = 8,428.57

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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.