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Finding the Fourth Proportional to 11,809.15, 16,296.59 and 6,503.92

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Solution

The fourth proportional to 11,809.15, 16,296.59 and 6,503.92 is: 8,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.15 : 16,296.59 = 6,503.92 : x
  2. Step 2: Convert to fraction form
    11,809.15/16,296.59 = 6,503.92/x
  3. Step 3: Cross multiply
    11,809.15x = 16,296.59 × 6,503.92
  4. Step 4: Simplify right side
    11,809.15x = 105,991,693.15
  5. Step 5: Solve for x
    x = 105,991,693.15/11,809.15
  6. Step 6: Final answer
    x = 8,975.39

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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.