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Finding the Fourth Proportional to 8,011.48, 12,019.38 and 7,240.36

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Solution

The fourth proportional to 8,011.48, 12,019.38 and 7,240.36 is: 10,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.48 : 12,019.38 = 7,240.36 : x
  2. Step 2: Convert to fraction form
    8,011.48/12,019.38 = 7,240.36/x
  3. Step 3: Cross multiply
    8,011.48x = 12,019.38 × 7,240.36
  4. Step 4: Simplify right side
    8,011.48x = 87,024,638.18
  5. Step 5: Solve for x
    x = 87,024,638.18/8,011.48
  6. Step 6: Final answer
    x = 10,862.49

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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.