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Finding the Fourth Proportional to 7,637.78, 11,446.64 and 5,536.46

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Solution

The fourth proportional to 7,637.78, 11,446.64 and 5,536.46 is: 8,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.78 : 11,446.64 = 5,536.46 : x
  2. Step 2: Convert to fraction form
    7,637.78/11,446.64 = 5,536.46/x
  3. Step 3: Cross multiply
    7,637.78x = 11,446.64 × 5,536.46
  4. Step 4: Simplify right side
    7,637.78x = 63,373,864.49
  5. Step 5: Solve for x
    x = 63,373,864.49/7,637.78
  6. Step 6: Final answer
    x = 8,297.42

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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.