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Finding the Fourth Proportional to 11,511.29, 15,876.32 and 7,733.31

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Solution

The fourth proportional to 11,511.29, 15,876.32 and 7,733.31 is: 10,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.29 : 15,876.32 = 7,733.31 : x
  2. Step 2: Convert to fraction form
    11,511.29/15,876.32 = 7,733.31/x
  3. Step 3: Cross multiply
    11,511.29x = 15,876.32 × 7,733.31
  4. Step 4: Simplify right side
    11,511.29x = 122,776,465.55
  5. Step 5: Solve for x
    x = 122,776,465.55/11,511.29
  6. Step 6: Final answer
    x = 10,665.75

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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.