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Finding the Fourth Proportional to 6,319.67, 8,721.14 and 3,668.63

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Solution

The fourth proportional to 6,319.67, 8,721.14 and 3,668.63 is: 5,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.67 : 8,721.14 = 3,668.63 : x
  2. Step 2: Convert to fraction form
    6,319.67/8,721.14 = 3,668.63/x
  3. Step 3: Cross multiply
    6,319.67x = 8,721.14 × 3,668.63
  4. Step 4: Simplify right side
    6,319.67x = 31,994,573.89
  5. Step 5: Solve for x
    x = 31,994,573.89/6,319.67
  6. Step 6: Final answer
    x = 5,062.70

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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.