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Finding the Fourth Proportional to 10,702.58, 16,056.46 and 3,682.70

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Solution

The fourth proportional to 10,702.58, 16,056.46 and 3,682.70 is: 5,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.58 : 16,056.46 = 3,682.70 : x
  2. Step 2: Convert to fraction form
    10,702.58/16,056.46 = 3,682.70/x
  3. Step 3: Cross multiply
    10,702.58x = 16,056.46 × 3,682.70
  4. Step 4: Simplify right side
    10,702.58x = 59,131,125.24
  5. Step 5: Solve for x
    x = 59,131,125.24/10,702.58
  6. Step 6: Final answer
    x = 5,524.94

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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.