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Finding the Fourth Proportional to 8,564.14, 12,846.47 and 2,324.13

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Solution

The fourth proportional to 8,564.14, 12,846.47 and 2,324.13 is: 3,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.14 : 12,846.47 = 2,324.13 : x
  2. Step 2: Convert to fraction form
    8,564.14/12,846.47 = 2,324.13/x
  3. Step 3: Cross multiply
    8,564.14x = 12,846.47 × 2,324.13
  4. Step 4: Simplify right side
    8,564.14x = 29,856,802.09
  5. Step 5: Solve for x
    x = 29,856,802.09/8,564.14
  6. Step 6: Final answer
    x = 3,486.26

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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.