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Finding the Fourth Proportional to 10,263.99, 14,143.38 and 7,078.26

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Solution

The fourth proportional to 10,263.99, 14,143.38 and 7,078.26 is: 9,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.99 : 14,143.38 = 7,078.26 : x
  2. Step 2: Convert to fraction form
    10,263.99/14,143.38 = 7,078.26/x
  3. Step 3: Cross multiply
    10,263.99x = 14,143.38 × 7,078.26
  4. Step 4: Simplify right side
    10,263.99x = 100,110,520.92
  5. Step 5: Solve for x
    x = 100,110,520.92/10,263.99
  6. Step 6: Final answer
    x = 9,753.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.