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Finding the Fourth Proportional to 6,682.29, 10,007.02 and 4,596.43

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Solution

The fourth proportional to 6,682.29, 10,007.02 and 4,596.43 is: 6,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.29 : 10,007.02 = 4,596.43 : x
  2. Step 2: Convert to fraction form
    6,682.29/10,007.02 = 4,596.43/x
  3. Step 3: Cross multiply
    6,682.29x = 10,007.02 × 4,596.43
  4. Step 4: Simplify right side
    6,682.29x = 45,996,566.94
  5. Step 5: Solve for x
    x = 45,996,566.94/6,682.29
  6. Step 6: Final answer
    x = 6,883.35

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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.