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Finding the Fourth Proportional to 6,685.68, 10,035.92 and 6,518.12

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Solution

The fourth proportional to 6,685.68, 10,035.92 and 6,518.12 is: 9,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.68 : 10,035.92 = 6,518.12 : x
  2. Step 2: Convert to fraction form
    6,685.68/10,035.92 = 6,518.12/x
  3. Step 3: Cross multiply
    6,685.68x = 10,035.92 × 6,518.12
  4. Step 4: Simplify right side
    6,685.68x = 65,415,330.87
  5. Step 5: Solve for x
    x = 65,415,330.87/6,685.68
  6. Step 6: Final answer
    x = 9,784.39

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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.