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Finding the Fourth Proportional to 7,775.40, 11,664.83 and 2,844.93

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Solution

The fourth proportional to 7,775.40, 11,664.83 and 2,844.93 is: 4,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.40 : 11,664.83 = 2,844.93 : x
  2. Step 2: Convert to fraction form
    7,775.40/11,664.83 = 2,844.93/x
  3. Step 3: Cross multiply
    7,775.40x = 11,664.83 × 2,844.93
  4. Step 4: Simplify right side
    7,775.40x = 33,185,624.81
  5. Step 5: Solve for x
    x = 33,185,624.81/7,775.40
  6. Step 6: Final answer
    x = 4,268.03

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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.