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Finding the Fourth Proportional to 8,567.50, 12,852.27 and 3,019.69

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Solution

The fourth proportional to 8,567.50, 12,852.27 and 3,019.69 is: 4,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.50 : 12,852.27 = 3,019.69 : x
  2. Step 2: Convert to fraction form
    8,567.50/12,852.27 = 3,019.69/x
  3. Step 3: Cross multiply
    8,567.50x = 12,852.27 × 3,019.69
  4. Step 4: Simplify right side
    8,567.50x = 38,809,871.20
  5. Step 5: Solve for x
    x = 38,809,871.20/8,567.50
  6. Step 6: Final answer
    x = 4,529.89

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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.