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Finding the Fourth Proportional to 8,071.34, 11,138.49 and 4,714.29

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Solution

The fourth proportional to 8,071.34, 11,138.49 and 4,714.29 is: 6,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.34 : 11,138.49 = 4,714.29 : x
  2. Step 2: Convert to fraction form
    8,071.34/11,138.49 = 4,714.29/x
  3. Step 3: Cross multiply
    8,071.34x = 11,138.49 × 4,714.29
  4. Step 4: Simplify right side
    8,071.34x = 52,510,072.02
  5. Step 5: Solve for x
    x = 52,510,072.02/8,071.34
  6. Step 6: Final answer
    x = 6,505.75

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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.