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Finding the Fourth Proportional to 8,384.04, 12,576.60 and 4,914

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Solution

The fourth proportional to 8,384.04, 12,576.60 and 4,914 is: 7,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.04 : 12,576.60 = 4,914 : x
  2. Step 2: Convert to fraction form
    8,384.04/12,576.60 = 4,914/x
  3. Step 3: Cross multiply
    8,384.04x = 12,576.60 × 4,914
  4. Step 4: Simplify right side
    8,384.04x = 61,801,412.40
  5. Step 5: Solve for x
    x = 61,801,412.40/8,384.04
  6. Step 6: Final answer
    x = 7,371.32

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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.