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Finding the Fourth Proportional to 11,144.40, 15,378.62 and 6,107.62

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Solution

The fourth proportional to 11,144.40, 15,378.62 and 6,107.62 is: 8,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.40 : 15,378.62 = 6,107.62 : x
  2. Step 2: Convert to fraction form
    11,144.40/15,378.62 = 6,107.62/x
  3. Step 3: Cross multiply
    11,144.40x = 15,378.62 × 6,107.62
  4. Step 4: Simplify right side
    11,144.40x = 93,926,767.08
  5. Step 5: Solve for x
    x = 93,926,767.08/11,144.40
  6. Step 6: Final answer
    x = 8,428.16

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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.