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Finding the Fourth Proportional to 8,515.50, 12,748.50 and 5,218.50

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Solution

The fourth proportional to 8,515.50, 12,748.50 and 5,218.50 is: 7,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.50 : 12,748.50 = 5,218.50 : x
  2. Step 2: Convert to fraction form
    8,515.50/12,748.50 = 5,218.50/x
  3. Step 3: Cross multiply
    8,515.50x = 12,748.50 × 5,218.50
  4. Step 4: Simplify right side
    8,515.50x = 66,528,047.25
  5. Step 5: Solve for x
    x = 66,528,047.25/8,515.50
  6. Step 6: Final answer
    x = 7,812.58

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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.