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Finding the Fourth Proportional to 10,238.74, 14,129.80 and 5,762.45

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Solution

The fourth proportional to 10,238.74, 14,129.80 and 5,762.45 is: 7,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.74 : 14,129.80 = 5,762.45 : x
  2. Step 2: Convert to fraction form
    10,238.74/14,129.80 = 5,762.45/x
  3. Step 3: Cross multiply
    10,238.74x = 14,129.80 × 5,762.45
  4. Step 4: Simplify right side
    10,238.74x = 81,422,286.93
  5. Step 5: Solve for x
    x = 81,422,286.93/10,238.74
  6. Step 6: Final answer
    x = 7,952.38

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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.