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Finding the Fourth Proportional to 8,693.40, 11,996.78 and 4,714.40

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Solution

The fourth proportional to 8,693.40, 11,996.78 and 4,714.40 is: 6,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.40 : 11,996.78 = 4,714.40 : x
  2. Step 2: Convert to fraction form
    8,693.40/11,996.78 = 4,714.40/x
  3. Step 3: Cross multiply
    8,693.40x = 11,996.78 × 4,714.40
  4. Step 4: Simplify right side
    8,693.40x = 56,557,619.63
  5. Step 5: Solve for x
    x = 56,557,619.63/8,693.40
  6. Step 6: Final answer
    x = 6,505.81

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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.