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Finding the Fourth Proportional to 8,071.76, 11,134.58 and 5,086.38

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Solution

The fourth proportional to 8,071.76, 11,134.58 and 5,086.38 is: 7,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.76 : 11,134.58 = 5,086.38 : x
  2. Step 2: Convert to fraction form
    8,071.76/11,134.58 = 5,086.38/x
  3. Step 3: Cross multiply
    8,071.76x = 11,134.58 × 5,086.38
  4. Step 4: Simplify right side
    8,071.76x = 56,634,705.02
  5. Step 5: Solve for x
    x = 56,634,705.02/8,071.76
  6. Step 6: Final answer
    x = 7,016.40

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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.