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Finding the Fourth Proportional to 6,165.64, 8,508.18 and 3,513.16

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Solution

The fourth proportional to 6,165.64, 8,508.18 and 3,513.16 is: 4,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.64 : 8,508.18 = 3,513.16 : x
  2. Step 2: Convert to fraction form
    6,165.64/8,508.18 = 3,513.16/x
  3. Step 3: Cross multiply
    6,165.64x = 8,508.18 × 3,513.16
  4. Step 4: Simplify right side
    6,165.64x = 29,890,597.65
  5. Step 5: Solve for x
    x = 29,890,597.65/6,165.64
  6. Step 6: Final answer
    x = 4,847.93

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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.