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Finding the Fourth Proportional to 8,055.93, 11,117.75 and 4,471.07

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Solution

The fourth proportional to 8,055.93, 11,117.75 and 4,471.07 is: 6,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055.93 : 11,117.75 = 4,471.07 : x
  2. Step 2: Convert to fraction form
    8,055.93/11,117.75 = 4,471.07/x
  3. Step 3: Cross multiply
    8,055.93x = 11,117.75 × 4,471.07
  4. Step 4: Simplify right side
    8,055.93x = 49,708,238.49
  5. Step 5: Solve for x
    x = 49,708,238.49/8,055.93
  6. Step 6: Final answer
    x = 6,170.39

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Why These Related Problems?

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