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Finding the Fourth Proportional to 10,451.84, 14,423.04 and 5,736.02

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Solution

The fourth proportional to 10,451.84, 14,423.04 and 5,736.02 is: 7,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.84 : 14,423.04 = 5,736.02 : x
  2. Step 2: Convert to fraction form
    10,451.84/14,423.04 = 5,736.02/x
  3. Step 3: Cross multiply
    10,451.84x = 14,423.04 × 5,736.02
  4. Step 4: Simplify right side
    10,451.84x = 82,730,845.90
  5. Step 5: Solve for x
    x = 82,730,845.90/10,451.84
  6. Step 6: Final answer
    x = 7,915.43

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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.