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Finding the Fourth Proportional to 7,704.49, 11,558.29 and 3,262.15

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Solution

The fourth proportional to 7,704.49, 11,558.29 and 3,262.15 is: 4,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.49 : 11,558.29 = 3,262.15 : x
  2. Step 2: Convert to fraction form
    7,704.49/11,558.29 = 3,262.15/x
  3. Step 3: Cross multiply
    7,704.49x = 11,558.29 × 3,262.15
  4. Step 4: Simplify right side
    7,704.49x = 37,704,875.72
  5. Step 5: Solve for x
    x = 37,704,875.72/7,704.49
  6. Step 6: Final answer
    x = 4,893.88

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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.