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Finding the Fourth Proportional to 7,677.88, 11,520.06 and 3,782.32

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Solution

The fourth proportional to 7,677.88, 11,520.06 and 3,782.32 is: 5,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.88 : 11,520.06 = 3,782.32 : x
  2. Step 2: Convert to fraction form
    7,677.88/11,520.06 = 3,782.32/x
  3. Step 3: Cross multiply
    7,677.88x = 11,520.06 × 3,782.32
  4. Step 4: Simplify right side
    7,677.88x = 43,572,553.34
  5. Step 5: Solve for x
    x = 43,572,553.34/7,677.88
  6. Step 6: Final answer
    x = 5,675.08

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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.