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Finding the Fourth Proportional to 8,455.46, 12,673.60 and 6,107.16

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Solution

The fourth proportional to 8,455.46, 12,673.60 and 6,107.16 is: 9,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.46 : 12,673.60 = 6,107.16 : x
  2. Step 2: Convert to fraction form
    8,455.46/12,673.60 = 6,107.16/x
  3. Step 3: Cross multiply
    8,455.46x = 12,673.60 × 6,107.16
  4. Step 4: Simplify right side
    8,455.46x = 77,399,735.23
  5. Step 5: Solve for x
    x = 77,399,735.23/8,455.46
  6. Step 6: Final answer
    x = 9,153.82

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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.