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Finding the Fourth Proportional to 7,056.54, 9,738.48 and 4,072.50

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Solution

The fourth proportional to 7,056.54, 9,738.48 and 4,072.50 is: 5,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.54 : 9,738.48 = 4,072.50 : x
  2. Step 2: Convert to fraction form
    7,056.54/9,738.48 = 4,072.50/x
  3. Step 3: Cross multiply
    7,056.54x = 9,738.48 × 4,072.50
  4. Step 4: Simplify right side
    7,056.54x = 39,659,959.80
  5. Step 5: Solve for x
    x = 39,659,959.80/7,056.54
  6. Step 6: Final answer
    x = 5,620.31

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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.