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Finding the Fourth Proportional to 7,836.78, 11,758.14 and 4,719

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Solution

The fourth proportional to 7,836.78, 11,758.14 and 4,719 is: 7,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.78 : 11,758.14 = 4,719 : x
  2. Step 2: Convert to fraction form
    7,836.78/11,758.14 = 4,719/x
  3. Step 3: Cross multiply
    7,836.78x = 11,758.14 × 4,719
  4. Step 4: Simplify right side
    7,836.78x = 55,486,662.66
  5. Step 5: Solve for x
    x = 55,486,662.66/7,836.78
  6. Step 6: Final answer
    x = 7,080.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.