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Finding the Fourth Proportional to 6,783.96, 10,189.31 and 6,492.36

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Solution

The fourth proportional to 6,783.96, 10,189.31 and 6,492.36 is: 9,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.96 : 10,189.31 = 6,492.36 : x
  2. Step 2: Convert to fraction form
    6,783.96/10,189.31 = 6,492.36/x
  3. Step 3: Cross multiply
    6,783.96x = 10,189.31 × 6,492.36
  4. Step 4: Simplify right side
    6,783.96x = 66,152,636.21
  5. Step 5: Solve for x
    x = 66,152,636.21/6,783.96
  6. Step 6: Final answer
    x = 9,751.33

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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.