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Finding the Fourth Proportional to 8,089.66, 12,061.91 and 7,942.03

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Solution

The fourth proportional to 8,089.66, 12,061.91 and 7,942.03 is: 11,841.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.66 : 12,061.91 = 7,942.03 : x
  2. Step 2: Convert to fraction form
    8,089.66/12,061.91 = 7,942.03/x
  3. Step 3: Cross multiply
    8,089.66x = 12,061.91 × 7,942.03
  4. Step 4: Simplify right side
    8,089.66x = 95,796,051.08
  5. Step 5: Solve for x
    x = 95,796,051.08/8,089.66
  6. Step 6: Final answer
    x = 11,841.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.