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Finding the Fourth Proportional to 8,357, 12,533.98 and 3,091.19

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Solution

The fourth proportional to 8,357, 12,533.98 and 3,091.19 is: 4,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357 : 12,533.98 = 3,091.19 : x
  2. Step 2: Convert to fraction form
    8,357/12,533.98 = 3,091.19/x
  3. Step 3: Cross multiply
    8,357x = 12,533.98 × 3,091.19
  4. Step 4: Simplify right side
    8,357x = 38,744,913.64
  5. Step 5: Solve for x
    x = 38,744,913.64/8,357
  6. Step 6: Final answer
    x = 4,636.22

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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.