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Finding the Fourth Proportional to 8,541.40, 11,782.65 and 6,949.83

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Solution

The fourth proportional to 8,541.40, 11,782.65 and 6,949.83 is: 9,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.40 : 11,782.65 = 6,949.83 : x
  2. Step 2: Convert to fraction form
    8,541.40/11,782.65 = 6,949.83/x
  3. Step 3: Cross multiply
    8,541.40x = 11,782.65 × 6,949.83
  4. Step 4: Simplify right side
    8,541.40x = 81,887,355.54
  5. Step 5: Solve for x
    x = 81,887,355.54/8,541.40
  6. Step 6: Final answer
    x = 9,587.11

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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.