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Finding the Fourth Proportional to 8,762.14, 13,140.24 and 2,837.42

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Solution

The fourth proportional to 8,762.14, 13,140.24 and 2,837.42 is: 4,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.14 : 13,140.24 = 2,837.42 : x
  2. Step 2: Convert to fraction form
    8,762.14/13,140.24 = 2,837.42/x
  3. Step 3: Cross multiply
    8,762.14x = 13,140.24 × 2,837.42
  4. Step 4: Simplify right side
    8,762.14x = 37,284,363.50
  5. Step 5: Solve for x
    x = 37,284,363.50/8,762.14
  6. Step 6: Final answer
    x = 4,255.17

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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.