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Finding the Fourth Proportional to 6,683.29, 10,008.52 and 4,597.43

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Solution

The fourth proportional to 6,683.29, 10,008.52 and 4,597.43 is: 6,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.29 : 10,008.52 = 4,597.43 : x
  2. Step 2: Convert to fraction form
    6,683.29/10,008.52 = 4,597.43/x
  3. Step 3: Cross multiply
    6,683.29x = 10,008.52 × 4,597.43
  4. Step 4: Simplify right side
    6,683.29x = 46,013,470.10
  5. Step 5: Solve for x
    x = 46,013,470.10/6,683.29
  6. Step 6: Final answer
    x = 6,884.85

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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.