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Finding the Fourth Proportional to 10,451.92, 14,423.61 and 5,736.19

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Solution

The fourth proportional to 10,451.92, 14,423.61 and 5,736.19 is: 7,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.92 : 14,423.61 = 5,736.19 : x
  2. Step 2: Convert to fraction form
    10,451.92/14,423.61 = 5,736.19/x
  3. Step 3: Cross multiply
    10,451.92x = 14,423.61 × 5,736.19
  4. Step 4: Simplify right side
    10,451.92x = 82,736,567.45
  5. Step 5: Solve for x
    x = 82,736,567.45/10,451.92
  6. Step 6: Final answer
    x = 7,915.92

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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.