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Finding the Fourth Proportional to 10,412.94, 15,620.72 and 3,393.66

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Solution

The fourth proportional to 10,412.94, 15,620.72 and 3,393.66 is: 5,090.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.94 : 15,620.72 = 3,393.66 : x
  2. Step 2: Convert to fraction form
    10,412.94/15,620.72 = 3,393.66/x
  3. Step 3: Cross multiply
    10,412.94x = 15,620.72 × 3,393.66
  4. Step 4: Simplify right side
    10,412.94x = 53,011,454.24
  5. Step 5: Solve for x
    x = 53,011,454.24/10,412.94
  6. Step 6: Final answer
    x = 5,090.92

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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.