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Finding the Fourth Proportional to 7,535.74, 10,399.88 and 4,178.53

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Solution

The fourth proportional to 7,535.74, 10,399.88 and 4,178.53 is: 5,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.74 : 10,399.88 = 4,178.53 : x
  2. Step 2: Convert to fraction form
    7,535.74/10,399.88 = 4,178.53/x
  3. Step 3: Cross multiply
    7,535.74x = 10,399.88 × 4,178.53
  4. Step 4: Simplify right side
    7,535.74x = 43,456,137.68
  5. Step 5: Solve for x
    x = 43,456,137.68/7,535.74
  6. Step 6: Final answer
    x = 5,766.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.