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Finding the Fourth Proportional to 7,538.51, 10,404.22 and 4,182.07

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Solution

The fourth proportional to 7,538.51, 10,404.22 and 4,182.07 is: 5,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.51 : 10,404.22 = 4,182.07 : x
  2. Step 2: Convert to fraction form
    7,538.51/10,404.22 = 4,182.07/x
  3. Step 3: Cross multiply
    7,538.51x = 10,404.22 × 4,182.07
  4. Step 4: Simplify right side
    7,538.51x = 43,511,176.34
  5. Step 5: Solve for x
    x = 43,511,176.34/7,538.51
  6. Step 6: Final answer
    x = 5,771.85

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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.