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Finding the Fourth Proportional to 7,409.60, 10,224.95 and 4,052.53

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Solution

The fourth proportional to 7,409.60, 10,224.95 and 4,052.53 is: 5,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.60 : 10,224.95 = 4,052.53 : x
  2. Step 2: Convert to fraction form
    7,409.60/10,224.95 = 4,052.53/x
  3. Step 3: Cross multiply
    7,409.60x = 10,224.95 × 4,052.53
  4. Step 4: Simplify right side
    7,409.60x = 41,436,916.62
  5. Step 5: Solve for x
    x = 41,436,916.62/7,409.60
  6. Step 6: Final answer
    x = 5,592.33

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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.