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Finding the Fourth Proportional to 8,653.88, 12,974.90 and 3,107.10

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Solution

The fourth proportional to 8,653.88, 12,974.90 and 3,107.10 is: 4,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.88 : 12,974.90 = 3,107.10 : x
  2. Step 2: Convert to fraction form
    8,653.88/12,974.90 = 3,107.10/x
  3. Step 3: Cross multiply
    8,653.88x = 12,974.90 × 3,107.10
  4. Step 4: Simplify right side
    8,653.88x = 40,314,311.79
  5. Step 5: Solve for x
    x = 40,314,311.79/8,653.88
  6. Step 6: Final answer
    x = 4,658.52

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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.