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Finding the Fourth Proportional to 7,580.37, 11,363.82 and 4,072.26

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Solution

The fourth proportional to 7,580.37, 11,363.82 and 4,072.26 is: 6,104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.37 : 11,363.82 = 4,072.26 : x
  2. Step 2: Convert to fraction form
    7,580.37/11,363.82 = 4,072.26/x
  3. Step 3: Cross multiply
    7,580.37x = 11,363.82 × 4,072.26
  4. Step 4: Simplify right side
    7,580.37x = 46,276,429.63
  5. Step 5: Solve for x
    x = 46,276,429.63/7,580.37
  6. Step 6: Final answer
    x = 6,104.77

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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.