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Finding the Fourth Proportional to 7,707.98, 11,552.37 and 4,008.03

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Solution

The fourth proportional to 7,707.98, 11,552.37 and 4,008.03 is: 6,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.98 : 11,552.37 = 4,008.03 : x
  2. Step 2: Convert to fraction form
    7,707.98/11,552.37 = 4,008.03/x
  3. Step 3: Cross multiply
    7,707.98x = 11,552.37 × 4,008.03
  4. Step 4: Simplify right side
    7,707.98x = 46,302,245.53
  5. Step 5: Solve for x
    x = 46,302,245.53/7,707.98
  6. Step 6: Final answer
    x = 6,007.06

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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.