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Finding the Fourth Proportional to 8,370.46, 11,546.04 and 5,185.27

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Solution

The fourth proportional to 8,370.46, 11,546.04 and 5,185.27 is: 7,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.46 : 11,546.04 = 5,185.27 : x
  2. Step 2: Convert to fraction form
    8,370.46/11,546.04 = 5,185.27/x
  3. Step 3: Cross multiply
    8,370.46x = 11,546.04 × 5,185.27
  4. Step 4: Simplify right side
    8,370.46x = 59,869,334.83
  5. Step 5: Solve for x
    x = 59,869,334.83/8,370.46
  6. Step 6: Final answer
    x = 7,152.45

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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.