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Finding the Fourth Proportional to 7,814.60, 10,782.34 and 4,626.29

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Solution

The fourth proportional to 7,814.60, 10,782.34 and 4,626.29 is: 6,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.60 : 10,782.34 = 4,626.29 : x
  2. Step 2: Convert to fraction form
    7,814.60/10,782.34 = 4,626.29/x
  3. Step 3: Cross multiply
    7,814.60x = 10,782.34 × 4,626.29
  4. Step 4: Simplify right side
    7,814.60x = 49,882,231.72
  5. Step 5: Solve for x
    x = 49,882,231.72/7,814.60
  6. Step 6: Final answer
    x = 6,383.21

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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.