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Finding the Fourth Proportional to 10,702.72, 16,055.87 and 3,682.45

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Solution

The fourth proportional to 10,702.72, 16,055.87 and 3,682.45 is: 5,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.72 : 16,055.87 = 3,682.45 : x
  2. Step 2: Convert to fraction form
    10,702.72/16,055.87 = 3,682.45/x
  3. Step 3: Cross multiply
    10,702.72x = 16,055.87 × 3,682.45
  4. Step 4: Simplify right side
    10,702.72x = 59,124,938.48
  5. Step 5: Solve for x
    x = 59,124,938.48/10,702.72
  6. Step 6: Final answer
    x = 5,524.29

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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.