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Finding the Fourth Proportional to 10,305.33, 15,458.04 and 4,380.69

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Solution

The fourth proportional to 10,305.33, 15,458.04 and 4,380.69 is: 6,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.33 : 15,458.04 = 4,380.69 : x
  2. Step 2: Convert to fraction form
    10,305.33/15,458.04 = 4,380.69/x
  3. Step 3: Cross multiply
    10,305.33x = 15,458.04 × 4,380.69
  4. Step 4: Simplify right side
    10,305.33x = 67,716,881.25
  5. Step 5: Solve for x
    x = 67,716,881.25/10,305.33
  6. Step 6: Final answer
    x = 6,571.05

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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.