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Finding the Fourth Proportional to 7,807.69, 11,705.34 and 4,517.07

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Solution

The fourth proportional to 7,807.69, 11,705.34 and 4,517.07 is: 6,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.69 : 11,705.34 = 4,517.07 : x
  2. Step 2: Convert to fraction form
    7,807.69/11,705.34 = 4,517.07/x
  3. Step 3: Cross multiply
    7,807.69x = 11,705.34 × 4,517.07
  4. Step 4: Simplify right side
    7,807.69x = 52,873,840.15
  5. Step 5: Solve for x
    x = 52,873,840.15/7,807.69
  6. Step 6: Final answer
    x = 6,772.02

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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.