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Finding the Fourth Proportional to 7,538.58, 11,307.78 and 3,640.26

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Solution

The fourth proportional to 7,538.58, 11,307.78 and 3,640.26 is: 5,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.58 : 11,307.78 = 3,640.26 : x
  2. Step 2: Convert to fraction form
    7,538.58/11,307.78 = 3,640.26/x
  3. Step 3: Cross multiply
    7,538.58x = 11,307.78 × 3,640.26
  4. Step 4: Simplify right side
    7,538.58x = 41,163,259.22
  5. Step 5: Solve for x
    x = 41,163,259.22/7,538.58
  6. Step 6: Final answer
    x = 5,460.35

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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.