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Finding the Fourth Proportional to 7,803.12, 11,707.92 and 4,108.08

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Solution

The fourth proportional to 7,803.12, 11,707.92 and 4,108.08 is: 6,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.12 : 11,707.92 = 4,108.08 : x
  2. Step 2: Convert to fraction form
    7,803.12/11,707.92 = 4,108.08/x
  3. Step 3: Cross multiply
    7,803.12x = 11,707.92 × 4,108.08
  4. Step 4: Simplify right side
    7,803.12x = 48,097,071.99
  5. Step 5: Solve for x
    x = 48,097,071.99/7,803.12
  6. Step 6: Final answer
    x = 6,163.83

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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.