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Finding the Fourth Proportional to 10,273.88, 15,409.14 and 4,727

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Solution

The fourth proportional to 10,273.88, 15,409.14 and 4,727 is: 7,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.88 : 15,409.14 = 4,727 : x
  2. Step 2: Convert to fraction form
    10,273.88/15,409.14 = 4,727/x
  3. Step 3: Cross multiply
    10,273.88x = 15,409.14 × 4,727
  4. Step 4: Simplify right side
    10,273.88x = 72,839,004.78
  5. Step 5: Solve for x
    x = 72,839,004.78/10,273.88
  6. Step 6: Final answer
    x = 7,089.73

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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.