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Finding the Fourth Proportional to 7,485.75, 11,218.65 and 3,538.06

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Solution

The fourth proportional to 7,485.75, 11,218.65 and 3,538.06 is: 5,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,485.75 : 11,218.65 = 3,538.06 : x
  2. Step 2: Convert to fraction form
    7,485.75/11,218.65 = 3,538.06/x
  3. Step 3: Cross multiply
    7,485.75x = 11,218.65 × 3,538.06
  4. Step 4: Simplify right side
    7,485.75x = 39,692,237.62
  5. Step 5: Solve for x
    x = 39,692,237.62/7,485.75
  6. Step 6: Final answer
    x = 5,302.37

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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.