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Finding the Fourth Proportional to 6,185.13, 8,536.77 and 5,686.98

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Solution

The fourth proportional to 6,185.13, 8,536.77 and 5,686.98 is: 7,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.13 : 8,536.77 = 5,686.98 : x
  2. Step 2: Convert to fraction form
    6,185.13/8,536.77 = 5,686.98/x
  3. Step 3: Cross multiply
    6,185.13x = 8,536.77 × 5,686.98
  4. Step 4: Simplify right side
    6,185.13x = 48,548,440.25
  5. Step 5: Solve for x
    x = 48,548,440.25/6,185.13
  6. Step 6: Final answer
    x = 7,849.22

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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.