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Finding the Fourth Proportional to 8,070.03, 12,102.62 and 3,138.50

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Solution

The fourth proportional to 8,070.03, 12,102.62 and 3,138.50 is: 4,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.03 : 12,102.62 = 3,138.50 : x
  2. Step 2: Convert to fraction form
    8,070.03/12,102.62 = 3,138.50/x
  3. Step 3: Cross multiply
    8,070.03x = 12,102.62 × 3,138.50
  4. Step 4: Simplify right side
    8,070.03x = 37,984,019.36
  5. Step 5: Solve for x
    x = 37,984,019.36/8,070.03
  6. Step 6: Final answer
    x = 4,706.80

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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.