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Finding the Fourth Proportional to 10,412.16, 15,620.67 and 3,016.77

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Solution

The fourth proportional to 10,412.16, 15,620.67 and 3,016.77 is: 4,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.16 : 15,620.67 = 3,016.77 : x
  2. Step 2: Convert to fraction form
    10,412.16/15,620.67 = 3,016.77/x
  3. Step 3: Cross multiply
    10,412.16x = 15,620.67 × 3,016.77
  4. Step 4: Simplify right side
    10,412.16x = 47,123,968.64
  5. Step 5: Solve for x
    x = 47,123,968.64/10,412.16
  6. Step 6: Final answer
    x = 4,525.86

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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.