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Finding the Fourth Proportional to 7,798.88, 11,698.32 and 2,605.16

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Solution

The fourth proportional to 7,798.88, 11,698.32 and 2,605.16 is: 3,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.88 : 11,698.32 = 2,605.16 : x
  2. Step 2: Convert to fraction form
    7,798.88/11,698.32 = 2,605.16/x
  3. Step 3: Cross multiply
    7,798.88x = 11,698.32 × 2,605.16
  4. Step 4: Simplify right side
    7,798.88x = 30,475,995.33
  5. Step 5: Solve for x
    x = 30,475,995.33/7,798.88
  6. Step 6: Final answer
    x = 3,907.74

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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.