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Finding the Fourth Proportional to 7,406.12, 10,220.64 and 4,049.12

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Solution

The fourth proportional to 7,406.12, 10,220.64 and 4,049.12 is: 5,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.12 : 10,220.64 = 4,049.12 : x
  2. Step 2: Convert to fraction form
    7,406.12/10,220.64 = 4,049.12/x
  3. Step 3: Cross multiply
    7,406.12x = 10,220.64 × 4,049.12
  4. Step 4: Simplify right side
    7,406.12x = 41,384,597.84
  5. Step 5: Solve for x
    x = 41,384,597.84/7,406.12
  6. Step 6: Final answer
    x = 5,587.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.