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Finding the Fourth Proportional to 8,315.72, 12,469.91 and 3,117.95

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Solution

The fourth proportional to 8,315.72, 12,469.91 and 3,117.95 is: 4,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.72 : 12,469.91 = 3,117.95 : x
  2. Step 2: Convert to fraction form
    8,315.72/12,469.91 = 3,117.95/x
  3. Step 3: Cross multiply
    8,315.72x = 12,469.91 × 3,117.95
  4. Step 4: Simplify right side
    8,315.72x = 38,880,477.95
  5. Step 5: Solve for x
    x = 38,880,477.95/8,315.72
  6. Step 6: Final answer
    x = 4,675.54

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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.