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Finding the Fourth Proportional to 7,698.40, 11,538.60 and 4,414.60

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Solution

The fourth proportional to 7,698.40, 11,538.60 and 4,414.60 is: 6,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.40 : 11,538.60 = 4,414.60 : x
  2. Step 2: Convert to fraction form
    7,698.40/11,538.60 = 4,414.60/x
  3. Step 3: Cross multiply
    7,698.40x = 11,538.60 × 4,414.60
  4. Step 4: Simplify right side
    7,698.40x = 50,938,303.56
  5. Step 5: Solve for x
    x = 50,938,303.56/7,698.40
  6. Step 6: Final answer
    x = 6,616.74

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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.