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Finding the Fourth Proportional to 11,537.64, 17,309.88 and 4,874.78

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Solution

The fourth proportional to 11,537.64, 17,309.88 and 4,874.78 is: 7,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.64 : 17,309.88 = 4,874.78 : x
  2. Step 2: Convert to fraction form
    11,537.64/17,309.88 = 4,874.78/x
  3. Step 3: Cross multiply
    11,537.64x = 17,309.88 × 4,874.78
  4. Step 4: Simplify right side
    11,537.64x = 84,381,900.10
  5. Step 5: Solve for x
    x = 84,381,900.10/11,537.64
  6. Step 6: Final answer
    x = 7,313.62

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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.