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Finding the Fourth Proportional to 7,635.66, 11,438.88 and 5,166.24

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Solution

The fourth proportional to 7,635.66, 11,438.88 and 5,166.24 is: 7,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.66 : 11,438.88 = 5,166.24 : x
  2. Step 2: Convert to fraction form
    7,635.66/11,438.88 = 5,166.24/x
  3. Step 3: Cross multiply
    7,635.66x = 11,438.88 × 5,166.24
  4. Step 4: Simplify right side
    7,635.66x = 59,095,999.41
  5. Step 5: Solve for x
    x = 59,095,999.41/7,635.66
  6. Step 6: Final answer
    x = 7,739.47

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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.