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Finding the Fourth Proportional to 7,698.14, 11,548.02 and 3,798.80

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Solution

The fourth proportional to 7,698.14, 11,548.02 and 3,798.80 is: 5,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.14 : 11,548.02 = 3,798.80 : x
  2. Step 2: Convert to fraction form
    7,698.14/11,548.02 = 3,798.80/x
  3. Step 3: Cross multiply
    7,698.14x = 11,548.02 × 3,798.80
  4. Step 4: Simplify right side
    7,698.14x = 43,868,618.38
  5. Step 5: Solve for x
    x = 43,868,618.38/7,698.14
  6. Step 6: Final answer
    x = 5,698.60

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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.