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Finding the Fourth Proportional to 11,476.43, 15,838.17 and 6,441.07

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Solution

The fourth proportional to 11,476.43, 15,838.17 and 6,441.07 is: 8,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.43 : 15,838.17 = 6,441.07 : x
  2. Step 2: Convert to fraction form
    11,476.43/15,838.17 = 6,441.07/x
  3. Step 3: Cross multiply
    11,476.43x = 15,838.17 × 6,441.07
  4. Step 4: Simplify right side
    11,476.43x = 102,014,761.64
  5. Step 5: Solve for x
    x = 102,014,761.64/11,476.43
  6. Step 6: Final answer
    x = 8,889.07

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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.