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Finding the Fourth Proportional to 7,698.49, 10,608.23 and 5,309.20

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Solution

The fourth proportional to 7,698.49, 10,608.23 and 5,309.20 is: 7,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.49 : 10,608.23 = 5,309.20 : x
  2. Step 2: Convert to fraction form
    7,698.49/10,608.23 = 5,309.20/x
  3. Step 3: Cross multiply
    7,698.49x = 10,608.23 × 5,309.20
  4. Step 4: Simplify right side
    7,698.49x = 56,321,214.72
  5. Step 5: Solve for x
    x = 56,321,214.72/7,698.49
  6. Step 6: Final answer
    x = 7,315.88

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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.