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Finding the Fourth Proportional to 6,683.85, 10,018.44 and 5,035.14

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Solution

The fourth proportional to 6,683.85, 10,018.44 and 5,035.14 is: 7,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.85 : 10,018.44 = 5,035.14 : x
  2. Step 2: Convert to fraction form
    6,683.85/10,018.44 = 5,035.14/x
  3. Step 3: Cross multiply
    6,683.85x = 10,018.44 × 5,035.14
  4. Step 4: Simplify right side
    6,683.85x = 50,444,247.98
  5. Step 5: Solve for x
    x = 50,444,247.98/6,683.85
  6. Step 6: Final answer
    x = 7,547.18

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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.