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Finding the Fourth Proportional to 7,710.96, 11,559.15 and 7,003.83

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Solution

The fourth proportional to 7,710.96, 11,559.15 and 7,003.83 is: 10,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.96 : 11,559.15 = 7,003.83 : x
  2. Step 2: Convert to fraction form
    7,710.96/11,559.15 = 7,003.83/x
  3. Step 3: Cross multiply
    7,710.96x = 11,559.15 × 7,003.83
  4. Step 4: Simplify right side
    7,710.96x = 80,958,321.54
  5. Step 5: Solve for x
    x = 80,958,321.54/7,710.96
  6. Step 6: Final answer
    x = 10,499.12

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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.