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Finding the Fourth Proportional to 8,343, 12,512.34 and 2,498.04

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Solution

The fourth proportional to 8,343, 12,512.34 and 2,498.04 is: 3,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343 : 12,512.34 = 2,498.04 : x
  2. Step 2: Convert to fraction form
    8,343/12,512.34 = 2,498.04/x
  3. Step 3: Cross multiply
    8,343x = 12,512.34 × 2,498.04
  4. Step 4: Simplify right side
    8,343x = 31,256,325.81
  5. Step 5: Solve for x
    x = 31,256,325.81/8,343
  6. Step 6: Final answer
    x = 3,746.41

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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.