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Finding the Fourth Proportional to 11,428.32, 15,770.60 and 6,647.60

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Solution

The fourth proportional to 11,428.32, 15,770.60 and 6,647.60 is: 9,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428.32 : 15,770.60 = 6,647.60 : x
  2. Step 2: Convert to fraction form
    11,428.32/15,770.60 = 6,647.60/x
  3. Step 3: Cross multiply
    11,428.32x = 15,770.60 × 6,647.60
  4. Step 4: Simplify right side
    11,428.32x = 104,836,671.68
  5. Step 5: Solve for x
    x = 104,836,671.68/11,428.32
  6. Step 6: Final answer
    x = 9,173.41

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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.