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Finding the Fourth Proportional to 8,352.52, 12,533.72 and 3,091.23

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Solution

The fourth proportional to 8,352.52, 12,533.72 and 3,091.23 is: 4,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.52 : 12,533.72 = 3,091.23 : x
  2. Step 2: Convert to fraction form
    8,352.52/12,533.72 = 3,091.23/x
  3. Step 3: Cross multiply
    8,352.52x = 12,533.72 × 3,091.23
  4. Step 4: Simplify right side
    8,352.52x = 38,744,619.41
  5. Step 5: Solve for x
    x = 38,744,619.41/8,352.52
  6. Step 6: Final answer
    x = 4,638.67

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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.