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Finding the Fourth Proportional to 6,314.24, 8,712.66 and 3,661.10

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Solution

The fourth proportional to 6,314.24, 8,712.66 and 3,661.10 is: 5,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.24 : 8,712.66 = 3,661.10 : x
  2. Step 2: Convert to fraction form
    6,314.24/8,712.66 = 3,661.10/x
  3. Step 3: Cross multiply
    6,314.24x = 8,712.66 × 3,661.10
  4. Step 4: Simplify right side
    6,314.24x = 31,897,919.53
  5. Step 5: Solve for x
    x = 31,897,919.53/6,314.24
  6. Step 6: Final answer
    x = 5,051.74

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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.