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Finding the Fourth Proportional to 6,164.64, 8,505.95 and 3,511.35

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Solution

The fourth proportional to 6,164.64, 8,505.95 and 3,511.35 is: 4,844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.64 : 8,505.95 = 3,511.35 : x
  2. Step 2: Convert to fraction form
    6,164.64/8,505.95 = 3,511.35/x
  3. Step 3: Cross multiply
    6,164.64x = 8,505.95 × 3,511.35
  4. Step 4: Simplify right side
    6,164.64x = 29,867,349.98
  5. Step 5: Solve for x
    x = 29,867,349.98/6,164.64
  6. Step 6: Final answer
    x = 4,844.95

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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.