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Finding the Fourth Proportional to 7,728.75, 10,666.08 and 4,542.21

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Solution

The fourth proportional to 7,728.75, 10,666.08 and 4,542.21 is: 6,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.75 : 10,666.08 = 4,542.21 : x
  2. Step 2: Convert to fraction form
    7,728.75/10,666.08 = 4,542.21/x
  3. Step 3: Cross multiply
    7,728.75x = 10,666.08 × 4,542.21
  4. Step 4: Simplify right side
    7,728.75x = 48,447,575.24
  5. Step 5: Solve for x
    x = 48,447,575.24/7,728.75
  6. Step 6: Final answer
    x = 6,268.49

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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.