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Finding the Fourth Proportional to 7,728.72, 11,580.72 and 4,025.52

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Solution

The fourth proportional to 7,728.72, 11,580.72 and 4,025.52 is: 6,031.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.72 : 11,580.72 = 4,025.52 : x
  2. Step 2: Convert to fraction form
    7,728.72/11,580.72 = 4,025.52/x
  3. Step 3: Cross multiply
    7,728.72x = 11,580.72 × 4,025.52
  4. Step 4: Simplify right side
    7,728.72x = 46,618,419.97
  5. Step 5: Solve for x
    x = 46,618,419.97/7,728.72
  6. Step 6: Final answer
    x = 6,031.84

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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.