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Finding the Fourth Proportional to 6,109.68, 8,427.60 and 5,325.60

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Solution

The fourth proportional to 6,109.68, 8,427.60 and 5,325.60 is: 7,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.68 : 8,427.60 = 5,325.60 : x
  2. Step 2: Convert to fraction form
    6,109.68/8,427.60 = 5,325.60/x
  3. Step 3: Cross multiply
    6,109.68x = 8,427.60 × 5,325.60
  4. Step 4: Simplify right side
    6,109.68x = 44,882,026.56
  5. Step 5: Solve for x
    x = 44,882,026.56/6,109.68
  6. Step 6: Final answer
    x = 7,346.05

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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.