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Finding the Fourth Proportional to 7,085.68, 10,647.96 and 6,683.11

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Solution

The fourth proportional to 7,085.68, 10,647.96 and 6,683.11 is: 10,043.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.68 : 10,647.96 = 6,683.11 : x
  2. Step 2: Convert to fraction form
    7,085.68/10,647.96 = 6,683.11/x
  3. Step 3: Cross multiply
    7,085.68x = 10,647.96 × 6,683.11
  4. Step 4: Simplify right side
    7,085.68x = 71,161,487.96
  5. Step 5: Solve for x
    x = 71,161,487.96/7,085.68
  6. Step 6: Final answer
    x = 10,043.00

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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.