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Finding the Fourth Proportional to 8,200.01, 12,300.91 and 3,005.88

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Solution

The fourth proportional to 8,200.01, 12,300.91 and 3,005.88 is: 4,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.01 : 12,300.91 = 3,005.88 : x
  2. Step 2: Convert to fraction form
    8,200.01/12,300.91 = 3,005.88/x
  3. Step 3: Cross multiply
    8,200.01x = 12,300.91 × 3,005.88
  4. Step 4: Simplify right side
    8,200.01x = 36,975,044.32
  5. Step 5: Solve for x
    x = 36,975,044.32/8,200.01
  6. Step 6: Final answer
    x = 4,509.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.