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Finding the Fourth Proportional to 8,295.84, 11,432.88 and 5,643.36

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Solution

The fourth proportional to 8,295.84, 11,432.88 and 5,643.36 is: 7,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.84 : 11,432.88 = 5,643.36 : x
  2. Step 2: Convert to fraction form
    8,295.84/11,432.88 = 5,643.36/x
  3. Step 3: Cross multiply
    8,295.84x = 11,432.88 × 5,643.36
  4. Step 4: Simplify right side
    8,295.84x = 64,519,857.68
  5. Step 5: Solve for x
    x = 64,519,857.68/8,295.84
  6. Step 6: Final answer
    x = 7,777.37

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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.