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Finding the Fourth Proportional to 8,294.03, 11,436.99 and 6,405.92

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Solution

The fourth proportional to 8,294.03, 11,436.99 and 6,405.92 is: 8,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.03 : 11,436.99 = 6,405.92 : x
  2. Step 2: Convert to fraction form
    8,294.03/11,436.99 = 6,405.92/x
  3. Step 3: Cross multiply
    8,294.03x = 11,436.99 × 6,405.92
  4. Step 4: Simplify right side
    8,294.03x = 73,264,442.98
  5. Step 5: Solve for x
    x = 73,264,442.98/8,294.03
  6. Step 6: Final answer
    x = 8,833.39

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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.