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Finding the Fourth Proportional to 10,702.26, 16,047.72 and 4,463.52

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Solution

The fourth proportional to 10,702.26, 16,047.72 and 4,463.52 is: 6,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.26 : 16,047.72 = 4,463.52 : x
  2. Step 2: Convert to fraction form
    10,702.26/16,047.72 = 4,463.52/x
  3. Step 3: Cross multiply
    10,702.26x = 16,047.72 × 4,463.52
  4. Step 4: Simplify right side
    10,702.26x = 71,629,319.17
  5. Step 5: Solve for x
    x = 71,629,319.17/10,702.26
  6. Step 6: Final answer
    x = 6,692.92

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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.