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Finding the Fourth Proportional to 8,136.24, 12,197.88 and 3,516

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Solution

The fourth proportional to 8,136.24, 12,197.88 and 3,516 is: 5,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.24 : 12,197.88 = 3,516 : x
  2. Step 2: Convert to fraction form
    8,136.24/12,197.88 = 3,516/x
  3. Step 3: Cross multiply
    8,136.24x = 12,197.88 × 3,516
  4. Step 4: Simplify right side
    8,136.24x = 42,887,746.08
  5. Step 5: Solve for x
    x = 42,887,746.08/8,136.24
  6. Step 6: Final answer
    x = 5,271.20

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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.