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Finding the Fourth Proportional to 10,012.18, 15,018.27 and 3,086.50

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Solution

The fourth proportional to 10,012.18, 15,018.27 and 3,086.50 is: 4,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.18 : 15,018.27 = 3,086.50 : x
  2. Step 2: Convert to fraction form
    10,012.18/15,018.27 = 3,086.50/x
  3. Step 3: Cross multiply
    10,012.18x = 15,018.27 × 3,086.50
  4. Step 4: Simplify right side
    10,012.18x = 46,353,890.36
  5. Step 5: Solve for x
    x = 46,353,890.36/10,012.18
  6. Step 6: Final answer
    x = 4,629.75

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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.