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Finding the Fourth Proportional to 10,503.30, 15,740.10 and 5,825.37

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Solution

The fourth proportional to 10,503.30, 15,740.10 and 5,825.37 is: 8,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.30 : 15,740.10 = 5,825.37 : x
  2. Step 2: Convert to fraction form
    10,503.30/15,740.10 = 5,825.37/x
  3. Step 3: Cross multiply
    10,503.30x = 15,740.10 × 5,825.37
  4. Step 4: Simplify right side
    10,503.30x = 91,691,906.34
  5. Step 5: Solve for x
    x = 91,691,906.34/10,503.30
  6. Step 6: Final answer
    x = 8,729.82

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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.