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Finding the Fourth Proportional to 8,389.10, 12,583.64 and 2,148.88

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Solution

The fourth proportional to 8,389.10, 12,583.64 and 2,148.88 is: 3,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.10 : 12,583.64 = 2,148.88 : x
  2. Step 2: Convert to fraction form
    8,389.10/12,583.64 = 2,148.88/x
  3. Step 3: Cross multiply
    8,389.10x = 12,583.64 × 2,148.88
  4. Step 4: Simplify right side
    8,389.10x = 27,040,732.32
  5. Step 5: Solve for x
    x = 27,040,732.32/8,389.10
  6. Step 6: Final answer
    x = 3,223.32

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Why These Related Problems?

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