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Finding the Fourth Proportional to 11,336.96, 17,002.86 and 4,314.48

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Solution

The fourth proportional to 11,336.96, 17,002.86 and 4,314.48 is: 6,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,336.96 : 17,002.86 = 4,314.48 : x
  2. Step 2: Convert to fraction form
    11,336.96/17,002.86 = 4,314.48/x
  3. Step 3: Cross multiply
    11,336.96x = 17,002.86 × 4,314.48
  4. Step 4: Simplify right side
    11,336.96x = 73,358,499.41
  5. Step 5: Solve for x
    x = 73,358,499.41/11,336.96
  6. Step 6: Final answer
    x = 6,470.74

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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.