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Finding the Fourth Proportional to 7,266.74, 10,028.94 and 4,123.50

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Solution

The fourth proportional to 7,266.74, 10,028.94 and 4,123.50 is: 5,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.74 : 10,028.94 = 4,123.50 : x
  2. Step 2: Convert to fraction form
    7,266.74/10,028.94 = 4,123.50/x
  3. Step 3: Cross multiply
    7,266.74x = 10,028.94 × 4,123.50
  4. Step 4: Simplify right side
    7,266.74x = 41,354,334.09
  5. Step 5: Solve for x
    x = 41,354,334.09/7,266.74
  6. Step 6: Final answer
    x = 5,690.91

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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.