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Finding the Fourth Proportional to 7,072.56, 9,760.80 and 4,278

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Solution

The fourth proportional to 7,072.56, 9,760.80 and 4,278 is: 5,904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.56 : 9,760.80 = 4,278 : x
  2. Step 2: Convert to fraction form
    7,072.56/9,760.80 = 4,278/x
  3. Step 3: Cross multiply
    7,072.56x = 9,760.80 × 4,278
  4. Step 4: Simplify right side
    7,072.56x = 41,756,702.40
  5. Step 5: Solve for x
    x = 41,756,702.40/7,072.56
  6. Step 6: Final answer
    x = 5,904.04

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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.