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Finding the Fourth Proportional to 7,153.41, 10,729.59 and 2,409.60

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Solution

The fourth proportional to 7,153.41, 10,729.59 and 2,409.60 is: 3,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.41 : 10,729.59 = 2,409.60 : x
  2. Step 2: Convert to fraction form
    7,153.41/10,729.59 = 2,409.60/x
  3. Step 3: Cross multiply
    7,153.41x = 10,729.59 × 2,409.60
  4. Step 4: Simplify right side
    7,153.41x = 25,854,020.06
  5. Step 5: Solve for x
    x = 25,854,020.06/7,153.41
  6. Step 6: Final answer
    x = 3,614.22

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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.