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Finding the Fourth Proportional to 11,051.75, 15,240.61 and 7,071.41

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Solution

The fourth proportional to 11,051.75, 15,240.61 and 7,071.41 is: 9,751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051.75 : 15,240.61 = 7,071.41 : x
  2. Step 2: Convert to fraction form
    11,051.75/15,240.61 = 7,071.41/x
  3. Step 3: Cross multiply
    11,051.75x = 15,240.61 × 7,071.41
  4. Step 4: Simplify right side
    11,051.75x = 107,772,601.96
  5. Step 5: Solve for x
    x = 107,772,601.96/11,051.75
  6. Step 6: Final answer
    x = 9,751.63

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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.