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Finding the Fourth Proportional to 8,102.40, 11,193.30 and 7,549.20

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Solution

The fourth proportional to 8,102.40, 11,193.30 and 7,549.20 is: 10,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.40 : 11,193.30 = 7,549.20 : x
  2. Step 2: Convert to fraction form
    8,102.40/11,193.30 = 7,549.20/x
  3. Step 3: Cross multiply
    8,102.40x = 11,193.30 × 7,549.20
  4. Step 4: Simplify right side
    8,102.40x = 84,500,460.36
  5. Step 5: Solve for x
    x = 84,500,460.36/8,102.40
  6. Step 6: Final answer
    x = 10,429.07

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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.