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Finding the Fourth Proportional to 7,870.33, 11,797.60 and 3,656.54

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Solution

The fourth proportional to 7,870.33, 11,797.60 and 3,656.54 is: 5,481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.33 : 11,797.60 = 3,656.54 : x
  2. Step 2: Convert to fraction form
    7,870.33/11,797.60 = 3,656.54/x
  3. Step 3: Cross multiply
    7,870.33x = 11,797.60 × 3,656.54
  4. Step 4: Simplify right side
    7,870.33x = 43,138,357.67
  5. Step 5: Solve for x
    x = 43,138,357.67/7,870.33
  6. Step 6: Final answer
    x = 5,481.14

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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.