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Finding the Fourth Proportional to 8,340.50, 12,516.44 and 4,447.64

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Solution

The fourth proportional to 8,340.50, 12,516.44 and 4,447.64 is: 6,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.50 : 12,516.44 = 4,447.64 : x
  2. Step 2: Convert to fraction form
    8,340.50/12,516.44 = 4,447.64/x
  3. Step 3: Cross multiply
    8,340.50x = 12,516.44 × 4,447.64
  4. Step 4: Simplify right side
    8,340.50x = 55,668,534.38
  5. Step 5: Solve for x
    x = 55,668,534.38/8,340.50
  6. Step 6: Final answer
    x = 6,674.49

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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.