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Finding the Fourth Proportional to 7,756.34, 11,634.64 and 2,562.35

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Solution

The fourth proportional to 7,756.34, 11,634.64 and 2,562.35 is: 3,843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.34 : 11,634.64 = 2,562.35 : x
  2. Step 2: Convert to fraction form
    7,756.34/11,634.64 = 2,562.35/x
  3. Step 3: Cross multiply
    7,756.34x = 11,634.64 × 2,562.35
  4. Step 4: Simplify right side
    7,756.34x = 29,811,955.22
  5. Step 5: Solve for x
    x = 29,811,955.22/7,756.34
  6. Step 6: Final answer
    x = 3,843.56

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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.