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Finding the Fourth Proportional to 8,341.97, 12,512.94 and 2,102.01

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Solution

The fourth proportional to 8,341.97, 12,512.94 and 2,102.01 is: 3,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.97 : 12,512.94 = 2,102.01 : x
  2. Step 2: Convert to fraction form
    8,341.97/12,512.94 = 2,102.01/x
  3. Step 3: Cross multiply
    8,341.97x = 12,512.94 × 2,102.01
  4. Step 4: Simplify right side
    8,341.97x = 26,302,325.01
  5. Step 5: Solve for x
    x = 26,302,325.01/8,341.97
  6. Step 6: Final answer
    x = 3,153.01

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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.