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Finding the Fourth Proportional to 7,968.84, 10,996.65 and 4,432.38

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Solution

The fourth proportional to 7,968.84, 10,996.65 and 4,432.38 is: 6,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.84 : 10,996.65 = 4,432.38 : x
  2. Step 2: Convert to fraction form
    7,968.84/10,996.65 = 4,432.38/x
  3. Step 3: Cross multiply
    7,968.84x = 10,996.65 × 4,432.38
  4. Step 4: Simplify right side
    7,968.84x = 48,741,331.53
  5. Step 5: Solve for x
    x = 48,741,331.53/7,968.84
  6. Step 6: Final answer
    x = 6,116.49

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Why These Related Problems?

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