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Finding the Fourth Proportional to 10,190.96, 15,315.96 and 6,750.08

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Solution

The fourth proportional to 10,190.96, 15,315.96 and 6,750.08 is: 10,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.96 : 15,315.96 = 6,750.08 : x
  2. Step 2: Convert to fraction form
    10,190.96/15,315.96 = 6,750.08/x
  3. Step 3: Cross multiply
    10,190.96x = 15,315.96 × 6,750.08
  4. Step 4: Simplify right side
    10,190.96x = 103,383,955.28
  5. Step 5: Solve for x
    x = 103,383,955.28/10,190.96
  6. Step 6: Final answer
    x = 10,144.67

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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.