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Finding the Fourth Proportional to 11,702.70, 16,149.72 and 6,397.52

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Solution

The fourth proportional to 11,702.70, 16,149.72 and 6,397.52 is: 8,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.70 : 16,149.72 = 6,397.52 : x
  2. Step 2: Convert to fraction form
    11,702.70/16,149.72 = 6,397.52/x
  3. Step 3: Cross multiply
    11,702.70x = 16,149.72 × 6,397.52
  4. Step 4: Simplify right side
    11,702.70x = 103,318,075.95
  5. Step 5: Solve for x
    x = 103,318,075.95/11,702.70
  6. Step 6: Final answer
    x = 8,828.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.