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Finding the Fourth Proportional to 7,698.20, 11,548.74 and 2,504.12

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Solution

The fourth proportional to 7,698.20, 11,548.74 and 2,504.12 is: 3,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.20 : 11,548.74 = 2,504.12 : x
  2. Step 2: Convert to fraction form
    7,698.20/11,548.74 = 2,504.12/x
  3. Step 3: Cross multiply
    7,698.20x = 11,548.74 × 2,504.12
  4. Step 4: Simplify right side
    7,698.20x = 28,919,430.81
  5. Step 5: Solve for x
    x = 28,919,430.81/7,698.20
  6. Step 6: Final answer
    x = 3,756.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.