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Finding the Fourth Proportional to 7,664.10, 10,576.53 and 4,639.29

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Solution

The fourth proportional to 7,664.10, 10,576.53 and 4,639.29 is: 6,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.10 : 10,576.53 = 4,639.29 : x
  2. Step 2: Convert to fraction form
    7,664.10/10,576.53 = 4,639.29/x
  3. Step 3: Cross multiply
    7,664.10x = 10,576.53 × 4,639.29
  4. Step 4: Simplify right side
    7,664.10x = 49,067,627.90
  5. Step 5: Solve for x
    x = 49,067,627.90/7,664.10
  6. Step 6: Final answer
    x = 6,402.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.