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Finding the Fourth Proportional to 11,504.71, 15,876.39 and 6,468.94

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Solution

The fourth proportional to 11,504.71, 15,876.39 and 6,468.94 is: 8,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.71 : 15,876.39 = 6,468.94 : x
  2. Step 2: Convert to fraction form
    11,504.71/15,876.39 = 6,468.94/x
  3. Step 3: Cross multiply
    11,504.71x = 15,876.39 × 6,468.94
  4. Step 4: Simplify right side
    11,504.71x = 102,703,414.33
  5. Step 5: Solve for x
    x = 102,703,414.33/11,504.71
  6. Step 6: Final answer
    x = 8,927.08

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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.