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Finding the Fourth Proportional to 10,702.43, 16,050.50 and 4,034.12

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Solution

The fourth proportional to 10,702.43, 16,050.50 and 4,034.12 is: 6,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.43 : 16,050.50 = 4,034.12 : x
  2. Step 2: Convert to fraction form
    10,702.43/16,050.50 = 4,034.12/x
  3. Step 3: Cross multiply
    10,702.43x = 16,050.50 × 4,034.12
  4. Step 4: Simplify right side
    10,702.43x = 64,749,557.76
  5. Step 5: Solve for x
    x = 64,749,557.76/10,702.43
  6. Step 6: Final answer
    x = 6,049.99

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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.