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Finding the Fourth Proportional to 7,698.14, 10,623.51 and 4,161.42

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Solution

The fourth proportional to 7,698.14, 10,623.51 and 4,161.42 is: 5,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.14 : 10,623.51 = 4,161.42 : x
  2. Step 2: Convert to fraction form
    7,698.14/10,623.51 = 4,161.42/x
  3. Step 3: Cross multiply
    7,698.14x = 10,623.51 × 4,161.42
  4. Step 4: Simplify right side
    7,698.14x = 44,208,886.98
  5. Step 5: Solve for x
    x = 44,208,886.98/7,698.14
  6. Step 6: Final answer
    x = 5,742.80

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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.