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Finding the Fourth Proportional to 8,071.69, 11,138.97 and 4,534.93

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Solution

The fourth proportional to 8,071.69, 11,138.97 and 4,534.93 is: 6,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.69 : 11,138.97 = 4,534.93 : x
  2. Step 2: Convert to fraction form
    8,071.69/11,138.97 = 4,534.93/x
  3. Step 3: Cross multiply
    8,071.69x = 11,138.97 × 4,534.93
  4. Step 4: Simplify right side
    8,071.69x = 50,514,449.22
  5. Step 5: Solve for x
    x = 50,514,449.22/8,071.69
  6. Step 6: Final answer
    x = 6,258.22

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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.