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Finding the Fourth Proportional to 7,428.46, 10,249.47 and 4,116.46

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Solution

The fourth proportional to 7,428.46, 10,249.47 and 4,116.46 is: 5,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.46 : 10,249.47 = 4,116.46 : x
  2. Step 2: Convert to fraction form
    7,428.46/10,249.47 = 4,116.46/x
  3. Step 3: Cross multiply
    7,428.46x = 10,249.47 × 4,116.46
  4. Step 4: Simplify right side
    7,428.46x = 42,191,533.28
  5. Step 5: Solve for x
    x = 42,191,533.28/7,428.46
  6. Step 6: Final answer
    x = 5,679.71

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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.