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Finding the Fourth Proportional to 8,632.40, 11,914.64 and 5,643.32

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Solution

The fourth proportional to 8,632.40, 11,914.64 and 5,643.32 is: 7,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.40 : 11,914.64 = 5,643.32 : x
  2. Step 2: Convert to fraction form
    8,632.40/11,914.64 = 5,643.32/x
  3. Step 3: Cross multiply
    8,632.40x = 11,914.64 × 5,643.32
  4. Step 4: Simplify right side
    8,632.40x = 67,238,126.20
  5. Step 5: Solve for x
    x = 67,238,126.20/8,632.40
  6. Step 6: Final answer
    x = 7,789.04

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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.