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Finding the Fourth Proportional to 6,165.12, 8,508.16 and 4,597.44

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Solution

The fourth proportional to 6,165.12, 8,508.16 and 4,597.44 is: 6,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.12 : 8,508.16 = 4,597.44 : x
  2. Step 2: Convert to fraction form
    6,165.12/8,508.16 = 4,597.44/x
  3. Step 3: Cross multiply
    6,165.12x = 8,508.16 × 4,597.44
  4. Step 4: Simplify right side
    6,165.12x = 39,115,755.11
  5. Step 5: Solve for x
    x = 39,115,755.11/6,165.12
  6. Step 6: Final answer
    x = 6,344.69

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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.