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Finding the Fourth Proportional to 8,866.50, 13,282.02 and 5,735.70

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Solution

The fourth proportional to 8,866.50, 13,282.02 and 5,735.70 is: 8,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,866.50 : 13,282.02 = 5,735.70 : x
  2. Step 2: Convert to fraction form
    8,866.50/13,282.02 = 5,735.70/x
  3. Step 3: Cross multiply
    8,866.50x = 13,282.02 × 5,735.70
  4. Step 4: Simplify right side
    8,866.50x = 76,181,682.11
  5. Step 5: Solve for x
    x = 76,181,682.11/8,866.50
  6. Step 6: Final answer
    x = 8,592.08

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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.