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Finding the Fourth Proportional to 8,362.53, 12,543.14 and 2,358.37

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Solution

The fourth proportional to 8,362.53, 12,543.14 and 2,358.37 is: 3,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.53 : 12,543.14 = 2,358.37 : x
  2. Step 2: Convert to fraction form
    8,362.53/12,543.14 = 2,358.37/x
  3. Step 3: Cross multiply
    8,362.53x = 12,543.14 × 2,358.37
  4. Step 4: Simplify right side
    8,362.53x = 29,581,339.62
  5. Step 5: Solve for x
    x = 29,581,339.62/8,362.53
  6. Step 6: Final answer
    x = 3,537.37

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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.