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Finding the Fourth Proportional to 6,884.67, 10,322.55 and 4,686.60

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Solution

The fourth proportional to 6,884.67, 10,322.55 and 4,686.60 is: 7,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.67 : 10,322.55 = 4,686.60 : x
  2. Step 2: Convert to fraction form
    6,884.67/10,322.55 = 4,686.60/x
  3. Step 3: Cross multiply
    6,884.67x = 10,322.55 × 4,686.60
  4. Step 4: Simplify right side
    6,884.67x = 48,377,662.83
  5. Step 5: Solve for x
    x = 48,377,662.83/6,884.67
  6. Step 6: Final answer
    x = 7,026.87

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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.