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Finding the Fourth Proportional to 11,539.78, 17,313.70 and 3,643.52

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Solution

The fourth proportional to 11,539.78, 17,313.70 and 3,643.52 is: 5,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.78 : 17,313.70 = 3,643.52 : x
  2. Step 2: Convert to fraction form
    11,539.78/17,313.70 = 3,643.52/x
  3. Step 3: Cross multiply
    11,539.78x = 17,313.70 × 3,643.52
  4. Step 4: Simplify right side
    11,539.78x = 63,082,812.22
  5. Step 5: Solve for x
    x = 63,082,812.22/11,539.78
  6. Step 6: Final answer
    x = 5,466.55

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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.