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Finding the Fourth Proportional to 11,699.80, 16,145.80 and 6,394.70

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Solution

The fourth proportional to 11,699.80, 16,145.80 and 6,394.70 is: 8,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.80 : 16,145.80 = 6,394.70 : x
  2. Step 2: Convert to fraction form
    11,699.80/16,145.80 = 6,394.70/x
  3. Step 3: Cross multiply
    11,699.80x = 16,145.80 × 6,394.70
  4. Step 4: Simplify right side
    11,699.80x = 103,247,547.26
  5. Step 5: Solve for x
    x = 103,247,547.26/11,699.80
  6. Step 6: Final answer
    x = 8,824.73

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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.