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Finding the Fourth Proportional to 11,577.60, 17,372.70 and 6,312.30

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Solution

The fourth proportional to 11,577.60, 17,372.70 and 6,312.30 is: 9,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.60 : 17,372.70 = 6,312.30 : x
  2. Step 2: Convert to fraction form
    11,577.60/17,372.70 = 6,312.30/x
  3. Step 3: Cross multiply
    11,577.60x = 17,372.70 × 6,312.30
  4. Step 4: Simplify right side
    11,577.60x = 109,661,694.21
  5. Step 5: Solve for x
    x = 109,661,694.21/11,577.60
  6. Step 6: Final answer
    x = 9,471.88

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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.