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Finding the Fourth Proportional to 7,409.59, 10,224.71 and 4,052.33

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Solution

The fourth proportional to 7,409.59, 10,224.71 and 4,052.33 is: 5,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.59 : 10,224.71 = 4,052.33 : x
  2. Step 2: Convert to fraction form
    7,409.59/10,224.71 = 4,052.33/x
  3. Step 3: Cross multiply
    7,409.59x = 10,224.71 × 4,052.33
  4. Step 4: Simplify right side
    7,409.59x = 41,433,881.23
  5. Step 5: Solve for x
    x = 41,433,881.23/7,409.59
  6. Step 6: Final answer
    x = 5,591.93

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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.