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Finding the Fourth Proportional to 7,458, 11,190.60 and 2,844.24

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Solution

The fourth proportional to 7,458, 11,190.60 and 2,844.24 is: 4,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458 : 11,190.60 = 2,844.24 : x
  2. Step 2: Convert to fraction form
    7,458/11,190.60 = 2,844.24/x
  3. Step 3: Cross multiply
    7,458x = 11,190.60 × 2,844.24
  4. Step 4: Simplify right side
    7,458x = 31,828,752.14
  5. Step 5: Solve for x
    x = 31,828,752.14/7,458
  6. Step 6: Final answer
    x = 4,267.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.