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Finding the Fourth Proportional to 11,757.60, 17,632.56 and 4,361.76

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Solution

The fourth proportional to 11,757.60, 17,632.56 and 4,361.76 is: 6,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.60 : 17,632.56 = 4,361.76 : x
  2. Step 2: Convert to fraction form
    11,757.60/17,632.56 = 4,361.76/x
  3. Step 3: Cross multiply
    11,757.60x = 17,632.56 × 4,361.76
  4. Step 4: Simplify right side
    11,757.60x = 76,908,994.91
  5. Step 5: Solve for x
    x = 76,908,994.91/11,757.60
  6. Step 6: Final answer
    x = 6,541.22

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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.