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Finding the Fourth Proportional to 6,702.80, 10,054.68 and 1,772.38

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Solution

The fourth proportional to 6,702.80, 10,054.68 and 1,772.38 is: 2,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.80 : 10,054.68 = 1,772.38 : x
  2. Step 2: Convert to fraction form
    6,702.80/10,054.68 = 1,772.38/x
  3. Step 3: Cross multiply
    6,702.80x = 10,054.68 × 1,772.38
  4. Step 4: Simplify right side
    6,702.80x = 17,820,654.60
  5. Step 5: Solve for x
    x = 17,820,654.60/6,702.80
  6. Step 6: Final answer
    x = 2,658.69

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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.