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Finding the Fourth Proportional to 10,504.20, 15,765.94 and 5,313.72

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Solution

The fourth proportional to 10,504.20, 15,765.94 and 5,313.72 is: 7,975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.20 : 15,765.94 = 5,313.72 : x
  2. Step 2: Convert to fraction form
    10,504.20/15,765.94 = 5,313.72/x
  3. Step 3: Cross multiply
    10,504.20x = 15,765.94 × 5,313.72
  4. Step 4: Simplify right side
    10,504.20x = 83,775,790.70
  5. Step 5: Solve for x
    x = 83,775,790.70/10,504.20
  6. Step 6: Final answer
    x = 7,975.46

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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.