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Finding the Fourth Proportional to 7,664.41, 10,576.54 and 4,478.00

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Solution

The fourth proportional to 7,664.41, 10,576.54 and 4,478.00 is: 6,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.41 : 10,576.54 = 4,478.00 : x
  2. Step 2: Convert to fraction form
    7,664.41/10,576.54 = 4,478.00/x
  3. Step 3: Cross multiply
    7,664.41x = 10,576.54 × 4,478.00
  4. Step 4: Simplify right side
    7,664.41x = 47,361,670.85
  5. Step 5: Solve for x
    x = 47,361,670.85/7,664.41
  6. Step 6: Final answer
    x = 6,179.43

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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.