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Finding the Fourth Proportional to 7,538.94, 10,404.09 and 4,707.99

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Solution

The fourth proportional to 7,538.94, 10,404.09 and 4,707.99 is: 6,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.94 : 10,404.09 = 4,707.99 : x
  2. Step 2: Convert to fraction form
    7,538.94/10,404.09 = 4,707.99/x
  3. Step 3: Cross multiply
    7,538.94x = 10,404.09 × 4,707.99
  4. Step 4: Simplify right side
    7,538.94x = 48,982,351.68
  5. Step 5: Solve for x
    x = 48,982,351.68/7,538.94
  6. Step 6: Final answer
    x = 6,497.25

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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.