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Finding the Fourth Proportional to 7,381.88, 11,023.89 and 6,487.64

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Solution

The fourth proportional to 7,381.88, 11,023.89 and 6,487.64 is: 9,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.88 : 11,023.89 = 6,487.64 : x
  2. Step 2: Convert to fraction form
    7,381.88/11,023.89 = 6,487.64/x
  3. Step 3: Cross multiply
    7,381.88x = 11,023.89 × 6,487.64
  4. Step 4: Simplify right side
    7,381.88x = 71,519,057.28
  5. Step 5: Solve for x
    x = 71,519,057.28/7,381.88
  6. Step 6: Final answer
    x = 9,688.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.