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Finding the Fourth Proportional to 8,358.53, 12,537.68 and 2,033.47

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Solution

The fourth proportional to 8,358.53, 12,537.68 and 2,033.47 is: 3,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.53 : 12,537.68 = 2,033.47 : x
  2. Step 2: Convert to fraction form
    8,358.53/12,537.68 = 2,033.47/x
  3. Step 3: Cross multiply
    8,358.53x = 12,537.68 × 2,033.47
  4. Step 4: Simplify right side
    8,358.53x = 25,494,954.64
  5. Step 5: Solve for x
    x = 25,494,954.64/8,358.53
  6. Step 6: Final answer
    x = 3,050.17

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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.