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Finding the Fourth Proportional to 28,604.81, 42,907.22 and 7,828.31

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Solution

The fourth proportional to 28,604.81, 42,907.22 and 7,828.31 is: 11,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,604.81 : 42,907.22 = 7,828.31 : x
  2. Step 2: Convert to fraction form
    28,604.81/42,907.22 = 7,828.31/x
  3. Step 3: Cross multiply
    28,604.81x = 42,907.22 × 7,828.31
  4. Step 4: Simplify right side
    28,604.81x = 335,891,116.88
  5. Step 5: Solve for x
    x = 335,891,116.88/28,604.81
  6. Step 6: Final answer
    x = 11,742.47

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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.