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Finding the Fourth Proportional to 7,722.58, 10,657.83 and 4,365.99

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Solution

The fourth proportional to 7,722.58, 10,657.83 and 4,365.99 is: 6,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.58 : 10,657.83 = 4,365.99 : x
  2. Step 2: Convert to fraction form
    7,722.58/10,657.83 = 4,365.99/x
  3. Step 3: Cross multiply
    7,722.58x = 10,657.83 × 4,365.99
  4. Step 4: Simplify right side
    7,722.58x = 46,531,957.37
  5. Step 5: Solve for x
    x = 46,531,957.37/7,722.58
  6. Step 6: Final answer
    x = 6,025.44

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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.