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Finding the Fourth Proportional to 7,698.49, 10,623.91 and 4,161.70

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Solution

The fourth proportional to 7,698.49, 10,623.91 and 4,161.70 is: 5,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.49 : 10,623.91 = 4,161.70 : x
  2. Step 2: Convert to fraction form
    7,698.49/10,623.91 = 4,161.70/x
  3. Step 3: Cross multiply
    7,698.49x = 10,623.91 × 4,161.70
  4. Step 4: Simplify right side
    7,698.49x = 44,213,526.25
  5. Step 5: Solve for x
    x = 44,213,526.25/7,698.49
  6. Step 6: Final answer
    x = 5,743.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.