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Finding the Fourth Proportional to 7,405.86, 11,054.74 and 6,471.66

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Solution

The fourth proportional to 7,405.86, 11,054.74 and 6,471.66 is: 9,660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.86 : 11,054.74 = 6,471.66 : x
  2. Step 2: Convert to fraction form
    7,405.86/11,054.74 = 6,471.66/x
  3. Step 3: Cross multiply
    7,405.86x = 11,054.74 × 6,471.66
  4. Step 4: Simplify right side
    7,405.86x = 71,542,502.49
  5. Step 5: Solve for x
    x = 71,542,502.49/7,405.86
  6. Step 6: Final answer
    x = 9,660.26

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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.