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Finding the Fourth Proportional to 5,107.88, 7,647.52 and 4,165.16

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Solution

The fourth proportional to 5,107.88, 7,647.52 and 4,165.16 is: 6,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.88 : 7,647.52 = 4,165.16 : x
  2. Step 2: Convert to fraction form
    5,107.88/7,647.52 = 4,165.16/x
  3. Step 3: Cross multiply
    5,107.88x = 7,647.52 × 4,165.16
  4. Step 4: Simplify right side
    5,107.88x = 31,853,144.40
  5. Step 5: Solve for x
    x = 31,853,144.40/5,107.88
  6. Step 6: Final answer
    x = 6,236.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.