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Finding the Fourth Proportional to 10,512.05, 14,506.02 and 6,035.31

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Solution

The fourth proportional to 10,512.05, 14,506.02 and 6,035.31 is: 8,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.05 : 14,506.02 = 6,035.31 : x
  2. Step 2: Convert to fraction form
    10,512.05/14,506.02 = 6,035.31/x
  3. Step 3: Cross multiply
    10,512.05x = 14,506.02 × 6,035.31
  4. Step 4: Simplify right side
    10,512.05x = 87,548,327.57
  5. Step 5: Solve for x
    x = 87,548,327.57/10,512.05
  6. Step 6: Final answer
    x = 8,328.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.