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Finding the Fourth Proportional to 7,409.68, 10,224.97 and 4,051.84

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Solution

The fourth proportional to 7,409.68, 10,224.97 and 4,051.84 is: 5,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.68 : 10,224.97 = 4,051.84 : x
  2. Step 2: Convert to fraction form
    7,409.68/10,224.97 = 4,051.84/x
  3. Step 3: Cross multiply
    7,409.68x = 10,224.97 × 4,051.84
  4. Step 4: Simplify right side
    7,409.68x = 41,429,891.32
  5. Step 5: Solve for x
    x = 41,429,891.32/7,409.68
  6. Step 6: Final answer
    x = 5,591.32

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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.