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Finding the Fourth Proportional to 28,283.62, 42,425.36 and 7,223.64

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Solution

The fourth proportional to 28,283.62, 42,425.36 and 7,223.64 is: 10,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,283.62 : 42,425.36 = 7,223.64 : x
  2. Step 2: Convert to fraction form
    28,283.62/42,425.36 = 7,223.64/x
  3. Step 3: Cross multiply
    28,283.62x = 42,425.36 × 7,223.64
  4. Step 4: Simplify right side
    28,283.62x = 306,465,527.51
  5. Step 5: Solve for x
    x = 306,465,527.51/28,283.62
  6. Step 6: Final answer
    x = 10,835.44

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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.