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Finding the Fourth Proportional to 7,798.68, 11,698.02 and 2,252.34

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Solution

The fourth proportional to 7,798.68, 11,698.02 and 2,252.34 is: 3,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.68 : 11,698.02 = 2,252.34 : x
  2. Step 2: Convert to fraction form
    7,798.68/11,698.02 = 2,252.34/x
  3. Step 3: Cross multiply
    7,798.68x = 11,698.02 × 2,252.34
  4. Step 4: Simplify right side
    7,798.68x = 26,347,918.37
  5. Step 5: Solve for x
    x = 26,347,918.37/7,798.68
  6. Step 6: Final answer
    x = 3,378.51

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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.