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Finding the Fourth Proportional to 9,242.53, 13,880.50 and 8,500.82

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Solution

The fourth proportional to 9,242.53, 13,880.50 and 8,500.82 is: 12,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.53 : 13,880.50 = 8,500.82 : x
  2. Step 2: Convert to fraction form
    9,242.53/13,880.50 = 8,500.82/x
  3. Step 3: Cross multiply
    9,242.53x = 13,880.50 × 8,500.82
  4. Step 4: Simplify right side
    9,242.53x = 117,995,541.36
  5. Step 5: Solve for x
    x = 117,995,541.36/9,242.53
  6. Step 6: Final answer
    x = 12,766.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.