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Finding the Fourth Proportional to 7,829.80, 10,804.67 and 4,472.41

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Solution

The fourth proportional to 7,829.80, 10,804.67 and 4,472.41 is: 6,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.80 : 10,804.67 = 4,472.41 : x
  2. Step 2: Convert to fraction form
    7,829.80/10,804.67 = 4,472.41/x
  3. Step 3: Cross multiply
    7,829.80x = 10,804.67 × 4,472.41
  4. Step 4: Simplify right side
    7,829.80x = 48,322,901.81
  5. Step 5: Solve for x
    x = 48,322,901.81/7,829.80
  6. Step 6: Final answer
    x = 6,171.67

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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.