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Finding the Fourth Proportional to 8,656.50, 12,984.76 and 2,416.54

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Solution

The fourth proportional to 8,656.50, 12,984.76 and 2,416.54 is: 3,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.50 : 12,984.76 = 2,416.54 : x
  2. Step 2: Convert to fraction form
    8,656.50/12,984.76 = 2,416.54/x
  3. Step 3: Cross multiply
    8,656.50x = 12,984.76 × 2,416.54
  4. Step 4: Simplify right side
    8,656.50x = 31,378,191.93
  5. Step 5: Solve for x
    x = 31,378,191.93/8,656.50
  6. Step 6: Final answer
    x = 3,624.81

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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.