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Finding the Fourth Proportional to 6,107.72, 8,435.58 and 4,114.82

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Solution

The fourth proportional to 6,107.72, 8,435.58 and 4,114.82 is: 5,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.72 : 8,435.58 = 4,114.82 : x
  2. Step 2: Convert to fraction form
    6,107.72/8,435.58 = 4,114.82/x
  3. Step 3: Cross multiply
    6,107.72x = 8,435.58 × 4,114.82
  4. Step 4: Simplify right side
    6,107.72x = 34,710,893.30
  5. Step 5: Solve for x
    x = 34,710,893.30/6,107.72
  6. Step 6: Final answer
    x = 5,683.12

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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.