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Finding the Fourth Proportional to 11,294.25, 15,584.95 and 6,514.63

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Solution

The fourth proportional to 11,294.25, 15,584.95 and 6,514.63 is: 8,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.25 : 15,584.95 = 6,514.63 : x
  2. Step 2: Convert to fraction form
    11,294.25/15,584.95 = 6,514.63/x
  3. Step 3: Cross multiply
    11,294.25x = 15,584.95 × 6,514.63
  4. Step 4: Simplify right side
    11,294.25x = 101,530,152.00
  5. Step 5: Solve for x
    x = 101,530,152.00/11,294.25
  6. Step 6: Final answer
    x = 8,989.55

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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.