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Finding the Fourth Proportional to 10,002.52, 14,993.00 and 5,072.56

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Solution

The fourth proportional to 10,002.52, 14,993.00 and 5,072.56 is: 7,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.52 : 14,993.00 = 5,072.56 : x
  2. Step 2: Convert to fraction form
    10,002.52/14,993.00 = 5,072.56/x
  3. Step 3: Cross multiply
    10,002.52x = 14,993.00 × 5,072.56
  4. Step 4: Simplify right side
    10,002.52x = 76,052,848.26
  5. Step 5: Solve for x
    x = 76,052,848.26/10,002.52
  6. Step 6: Final answer
    x = 7,603.37

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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.