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Finding the Fourth Proportional to 7,538.75, 10,404.69 and 4,394.33

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Solution

The fourth proportional to 7,538.75, 10,404.69 and 4,394.33 is: 6,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.75 : 10,404.69 = 4,394.33 : x
  2. Step 2: Convert to fraction form
    7,538.75/10,404.69 = 4,394.33/x
  3. Step 3: Cross multiply
    7,538.75x = 10,404.69 × 4,394.33
  4. Step 4: Simplify right side
    7,538.75x = 45,721,641.41
  5. Step 5: Solve for x
    x = 45,721,641.41/7,538.75
  6. Step 6: Final answer
    x = 6,064.88

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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.