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Finding the Fourth Proportional to 8,176.50, 12,253.02 and 4,659.23

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Solution

The fourth proportional to 8,176.50, 12,253.02 and 4,659.23 is: 6,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.50 : 12,253.02 = 4,659.23 : x
  2. Step 2: Convert to fraction form
    8,176.50/12,253.02 = 4,659.23/x
  3. Step 3: Cross multiply
    8,176.50x = 12,253.02 × 4,659.23
  4. Step 4: Simplify right side
    8,176.50x = 57,089,638.37
  5. Step 5: Solve for x
    x = 57,089,638.37/8,176.50
  6. Step 6: Final answer
    x = 6,982.16

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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.