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Finding the Fourth Proportional to 7,503.60, 11,256.80 and 3,757.36

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Solution

The fourth proportional to 7,503.60, 11,256.80 and 3,757.36 is: 5,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.60 : 11,256.80 = 3,757.36 : x
  2. Step 2: Convert to fraction form
    7,503.60/11,256.80 = 3,757.36/x
  3. Step 3: Cross multiply
    7,503.60x = 11,256.80 × 3,757.36
  4. Step 4: Simplify right side
    7,503.60x = 42,295,850.05
  5. Step 5: Solve for x
    x = 42,295,850.05/7,503.60
  6. Step 6: Final answer
    x = 5,636.74

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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.