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Finding the Fourth Proportional to 7,728.21, 10,666.49 and 4,586.22

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Solution

The fourth proportional to 7,728.21, 10,666.49 and 4,586.22 is: 6,329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.21 : 10,666.49 = 4,586.22 : x
  2. Step 2: Convert to fraction form
    7,728.21/10,666.49 = 4,586.22/x
  3. Step 3: Cross multiply
    7,728.21x = 10,666.49 × 4,586.22
  4. Step 4: Simplify right side
    7,728.21x = 48,918,846.84
  5. Step 5: Solve for x
    x = 48,918,846.84/7,728.21
  6. Step 6: Final answer
    x = 6,329.91

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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.