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Finding the Fourth Proportional to 8,747.91, 13,117.99 and 2,506.50

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Solution

The fourth proportional to 8,747.91, 13,117.99 and 2,506.50 is: 3,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,747.91 : 13,117.99 = 2,506.50 : x
  2. Step 2: Convert to fraction form
    8,747.91/13,117.99 = 2,506.50/x
  3. Step 3: Cross multiply
    8,747.91x = 13,117.99 × 2,506.50
  4. Step 4: Simplify right side
    8,747.91x = 32,880,241.94
  5. Step 5: Solve for x
    x = 32,880,241.94/8,747.91
  6. Step 6: Final answer
    x = 3,758.64

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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.