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Finding the Fourth Proportional to 7,412.94, 10,230.77 and 4,428.76

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Solution

The fourth proportional to 7,412.94, 10,230.77 and 4,428.76 is: 6,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.94 : 10,230.77 = 4,428.76 : x
  2. Step 2: Convert to fraction form
    7,412.94/10,230.77 = 4,428.76/x
  3. Step 3: Cross multiply
    7,412.94x = 10,230.77 × 4,428.76
  4. Step 4: Simplify right side
    7,412.94x = 45,309,624.95
  5. Step 5: Solve for x
    x = 45,309,624.95/7,412.94
  6. Step 6: Final answer
    x = 6,112.23

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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.