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Finding the Fourth Proportional to 7,182.78, 9,912.26 and 4,038.76

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Solution

The fourth proportional to 7,182.78, 9,912.26 and 4,038.76 is: 5,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.78 : 9,912.26 = 4,038.76 : x
  2. Step 2: Convert to fraction form
    7,182.78/9,912.26 = 4,038.76/x
  3. Step 3: Cross multiply
    7,182.78x = 9,912.26 × 4,038.76
  4. Step 4: Simplify right side
    7,182.78x = 40,033,239.20
  5. Step 5: Solve for x
    x = 40,033,239.20/7,182.78
  6. Step 6: Final answer
    x = 5,573.50

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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.