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Finding the Fourth Proportional to 8,033.88, 12,048.50 and 3,102.40

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Solution

The fourth proportional to 8,033.88, 12,048.50 and 3,102.40 is: 4,652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.88 : 12,048.50 = 3,102.40 : x
  2. Step 2: Convert to fraction form
    8,033.88/12,048.50 = 3,102.40/x
  3. Step 3: Cross multiply
    8,033.88x = 12,048.50 × 3,102.40
  4. Step 4: Simplify right side
    8,033.88x = 37,379,271.77
  5. Step 5: Solve for x
    x = 37,379,271.77/8,033.88
  6. Step 6: Final answer
    x = 4,652.70

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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.