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Finding the Fourth Proportional to 11,699.40, 17,538.30 and 4,299.78

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Solution

The fourth proportional to 11,699.40, 17,538.30 and 4,299.78 is: 6,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.40 : 17,538.30 = 4,299.78 : x
  2. Step 2: Convert to fraction form
    11,699.40/17,538.30 = 4,299.78/x
  3. Step 3: Cross multiply
    11,699.40x = 17,538.30 × 4,299.78
  4. Step 4: Simplify right side
    11,699.40x = 75,410,831.57
  5. Step 5: Solve for x
    x = 75,410,831.57/11,699.40
  6. Step 6: Final answer
    x = 6,445.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.