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Finding the Fourth Proportional to 8,048.96, 12,070.48 and 2,782.62

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Solution

The fourth proportional to 8,048.96, 12,070.48 and 2,782.62 is: 4,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.96 : 12,070.48 = 2,782.62 : x
  2. Step 2: Convert to fraction form
    8,048.96/12,070.48 = 2,782.62/x
  3. Step 3: Cross multiply
    8,048.96x = 12,070.48 × 2,782.62
  4. Step 4: Simplify right side
    8,048.96x = 33,587,484.79
  5. Step 5: Solve for x
    x = 33,587,484.79/8,048.96
  6. Step 6: Final answer
    x = 4,172.90

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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.