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Finding the Fourth Proportional to 7,539.54, 10,409.40 and 4,851.96

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Solution

The fourth proportional to 7,539.54, 10,409.40 and 4,851.96 is: 6,698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.54 : 10,409.40 = 4,851.96 : x
  2. Step 2: Convert to fraction form
    7,539.54/10,409.40 = 4,851.96/x
  3. Step 3: Cross multiply
    7,539.54x = 10,409.40 × 4,851.96
  4. Step 4: Simplify right side
    7,539.54x = 50,505,992.42
  5. Step 5: Solve for x
    x = 50,505,992.42/7,539.54
  6. Step 6: Final answer
    x = 6,698.82

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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.