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Finding the Fourth Proportional to 7,554.63, 11,322.09 and 3,853.74

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Solution

The fourth proportional to 7,554.63, 11,322.09 and 3,853.74 is: 5,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,554.63 : 11,322.09 = 3,853.74 : x
  2. Step 2: Convert to fraction form
    7,554.63/11,322.09 = 3,853.74/x
  3. Step 3: Cross multiply
    7,554.63x = 11,322.09 × 3,853.74
  4. Step 4: Simplify right side
    7,554.63x = 43,632,391.12
  5. Step 5: Solve for x
    x = 43,632,391.12/7,554.63
  6. Step 6: Final answer
    x = 5,775.58

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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.