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Finding the Fourth Proportional to 7,193.60, 10,768.80 and 6,329.60

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Solution

The fourth proportional to 7,193.60, 10,768.80 and 6,329.60 is: 9,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.60 : 10,768.80 = 6,329.60 : x
  2. Step 2: Convert to fraction form
    7,193.60/10,768.80 = 6,329.60/x
  3. Step 3: Cross multiply
    7,193.60x = 10,768.80 × 6,329.60
  4. Step 4: Simplify right side
    7,193.60x = 68,162,196.48
  5. Step 5: Solve for x
    x = 68,162,196.48/7,193.60
  6. Step 6: Final answer
    x = 9,475.39

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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.