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Finding the Fourth Proportional to 10,702.44, 16,052.04 and 2,911.86

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Solution

The fourth proportional to 10,702.44, 16,052.04 and 2,911.86 is: 4,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.44 : 16,052.04 = 2,911.86 : x
  2. Step 2: Convert to fraction form
    10,702.44/16,052.04 = 2,911.86/x
  3. Step 3: Cross multiply
    10,702.44x = 16,052.04 × 2,911.86
  4. Step 4: Simplify right side
    10,702.44x = 46,741,293.19
  5. Step 5: Solve for x
    x = 46,741,293.19/10,702.44
  6. Step 6: Final answer
    x = 4,367.35

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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.