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Finding the Fourth Proportional to 8,749.48, 13,073 and 8,443.24

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Solution

The fourth proportional to 8,749.48, 13,073 and 8,443.24 is: 12,615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.48 : 13,073 = 8,443.24 : x
  2. Step 2: Convert to fraction form
    8,749.48/13,073 = 8,443.24/x
  3. Step 3: Cross multiply
    8,749.48x = 13,073 × 8,443.24
  4. Step 4: Simplify right side
    8,749.48x = 110,378,476.52
  5. Step 5: Solve for x
    x = 110,378,476.52/8,749.48
  6. Step 6: Final answer
    x = 12,615.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.