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Finding the Fourth Proportional to 7,434.23, 10,266.17 and 4,786.23

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Solution

The fourth proportional to 7,434.23, 10,266.17 and 4,786.23 is: 6,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.23 : 10,266.17 = 4,786.23 : x
  2. Step 2: Convert to fraction form
    7,434.23/10,266.17 = 4,786.23/x
  3. Step 3: Cross multiply
    7,434.23x = 10,266.17 × 4,786.23
  4. Step 4: Simplify right side
    7,434.23x = 49,136,226.91
  5. Step 5: Solve for x
    x = 49,136,226.91/7,434.23
  6. Step 6: Final answer
    x = 6,609.46

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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.