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Finding the Fourth Proportional to 7,749.64, 11,625.23 and 2,483.33

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Solution

The fourth proportional to 7,749.64, 11,625.23 and 2,483.33 is: 3,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.64 : 11,625.23 = 2,483.33 : x
  2. Step 2: Convert to fraction form
    7,749.64/11,625.23 = 2,483.33/x
  3. Step 3: Cross multiply
    7,749.64x = 11,625.23 × 2,483.33
  4. Step 4: Simplify right side
    7,749.64x = 28,869,282.42
  5. Step 5: Solve for x
    x = 28,869,282.42/7,749.64
  6. Step 6: Final answer
    x = 3,725.24

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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.