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Finding the Fourth Proportional to 10,511.16, 14,490.32 and 8,269.16

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Solution

The fourth proportional to 10,511.16, 14,490.32 and 8,269.16 is: 11,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.16 : 14,490.32 = 8,269.16 : x
  2. Step 2: Convert to fraction form
    10,511.16/14,490.32 = 8,269.16/x
  3. Step 3: Cross multiply
    10,511.16x = 14,490.32 × 8,269.16
  4. Step 4: Simplify right side
    10,511.16x = 119,822,660.73
  5. Step 5: Solve for x
    x = 119,822,660.73/10,511.16
  6. Step 6: Final answer
    x = 11,399.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.