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Finding the Fourth Proportional to 7,698.50, 10,623.93 and 5,604.38

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Solution

The fourth proportional to 7,698.50, 10,623.93 and 5,604.38 is: 7,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.50 : 10,623.93 = 5,604.38 : x
  2. Step 2: Convert to fraction form
    7,698.50/10,623.93 = 5,604.38/x
  3. Step 3: Cross multiply
    7,698.50x = 10,623.93 × 5,604.38
  4. Step 4: Simplify right side
    7,698.50x = 59,540,540.81
  5. Step 5: Solve for x
    x = 59,540,540.81/7,698.50
  6. Step 6: Final answer
    x = 7,734.04

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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.