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Finding the Fourth Proportional to 8,089.05, 11,156.85 and 7,143.16

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Solution

The fourth proportional to 8,089.05, 11,156.85 and 7,143.16 is: 9,852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.05 : 11,156.85 = 7,143.16 : x
  2. Step 2: Convert to fraction form
    8,089.05/11,156.85 = 7,143.16/x
  3. Step 3: Cross multiply
    8,089.05x = 11,156.85 × 7,143.16
  4. Step 4: Simplify right side
    8,089.05x = 79,695,164.65
  5. Step 5: Solve for x
    x = 79,695,164.65/8,089.05
  6. Step 6: Final answer
    x = 9,852.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.