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Finding the Fourth Proportional to 6,165.77, 8,508.27 and 3,774.77

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Solution

The fourth proportional to 6,165.77, 8,508.27 and 3,774.77 is: 5,208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.77 : 8,508.27 = 3,774.77 : x
  2. Step 2: Convert to fraction form
    6,165.77/8,508.27 = 3,774.77/x
  3. Step 3: Cross multiply
    6,165.77x = 8,508.27 × 3,774.77
  4. Step 4: Simplify right side
    6,165.77x = 32,116,719.81
  5. Step 5: Solve for x
    x = 32,116,719.81/6,165.77
  6. Step 6: Final answer
    x = 5,208.88

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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.