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Finding the Fourth Proportional to 11,238.75, 15,509.48 and 6,270.75

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Solution

The fourth proportional to 11,238.75, 15,509.48 and 6,270.75 is: 8,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.75 : 15,509.48 = 6,270.75 : x
  2. Step 2: Convert to fraction form
    11,238.75/15,509.48 = 6,270.75/x
  3. Step 3: Cross multiply
    11,238.75x = 15,509.48 × 6,270.75
  4. Step 4: Simplify right side
    11,238.75x = 97,256,040.36
  5. Step 5: Solve for x
    x = 97,256,040.36/11,238.75
  6. Step 6: Final answer
    x = 8,653.64

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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.