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Finding the Fourth Proportional to 8,017.50, 12,011.24 and 4,720.80

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Solution

The fourth proportional to 8,017.50, 12,011.24 and 4,720.80 is: 7,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017.50 : 12,011.24 = 4,720.80 : x
  2. Step 2: Convert to fraction form
    8,017.50/12,011.24 = 4,720.80/x
  3. Step 3: Cross multiply
    8,017.50x = 12,011.24 × 4,720.80
  4. Step 4: Simplify right side
    8,017.50x = 56,702,661.79
  5. Step 5: Solve for x
    x = 56,702,661.79/8,017.50
  6. Step 6: Final answer
    x = 7,072.36

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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.