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Finding the Fourth Proportional to 8,541.82, 12,811.32 and 6,069.16

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Solution

The fourth proportional to 8,541.82, 12,811.32 and 6,069.16 is: 9,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.82 : 12,811.32 = 6,069.16 : x
  2. Step 2: Convert to fraction form
    8,541.82/12,811.32 = 6,069.16/x
  3. Step 3: Cross multiply
    8,541.82x = 12,811.32 × 6,069.16
  4. Step 4: Simplify right side
    8,541.82x = 77,753,950.89
  5. Step 5: Solve for x
    x = 77,753,950.89/8,541.82
  6. Step 6: Final answer
    x = 9,102.74

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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.