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Finding the Fourth Proportional to 8,297.40, 11,464.98 and 6,632.54

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Solution

The fourth proportional to 8,297.40, 11,464.98 and 6,632.54 is: 9,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.40 : 11,464.98 = 6,632.54 : x
  2. Step 2: Convert to fraction form
    8,297.40/11,464.98 = 6,632.54/x
  3. Step 3: Cross multiply
    8,297.40x = 11,464.98 × 6,632.54
  4. Step 4: Simplify right side
    8,297.40x = 76,041,938.45
  5. Step 5: Solve for x
    x = 76,041,938.45/8,297.40
  6. Step 6: Final answer
    x = 9,164.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.