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Finding the Fourth Proportional to 11,809.17, 16,296.65 and 6,503.94

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Solution

The fourth proportional to 11,809.17, 16,296.65 and 6,503.94 is: 8,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.17 : 16,296.65 = 6,503.94 : x
  2. Step 2: Convert to fraction form
    11,809.17/16,296.65 = 6,503.94/x
  3. Step 3: Cross multiply
    11,809.17x = 16,296.65 × 6,503.94
  4. Step 4: Simplify right side
    11,809.17x = 105,992,433.80
  5. Step 5: Solve for x
    x = 105,992,433.80/11,809.17
  6. Step 6: Final answer
    x = 8,975.43

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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.