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Finding the Fourth Proportional to 8,472.70, 12,716.70 and 4,315.60

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Solution

The fourth proportional to 8,472.70, 12,716.70 and 4,315.60 is: 6,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.70 : 12,716.70 = 4,315.60 : x
  2. Step 2: Convert to fraction form
    8,472.70/12,716.70 = 4,315.60/x
  3. Step 3: Cross multiply
    8,472.70x = 12,716.70 × 4,315.60
  4. Step 4: Simplify right side
    8,472.70x = 54,880,190.52
  5. Step 5: Solve for x
    x = 54,880,190.52/8,472.70
  6. Step 6: Final answer
    x = 6,477.30

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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.