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Finding the Fourth Proportional to 10,451.71, 14,423.04 and 5,735.87

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Solution

The fourth proportional to 10,451.71, 14,423.04 and 5,735.87 is: 7,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.71 : 14,423.04 = 5,735.87 : x
  2. Step 2: Convert to fraction form
    10,451.71/14,423.04 = 5,735.87/x
  3. Step 3: Cross multiply
    10,451.71x = 14,423.04 × 5,735.87
  4. Step 4: Simplify right side
    10,451.71x = 82,728,653.77
  5. Step 5: Solve for x
    x = 82,728,653.77/10,451.71
  6. Step 6: Final answer
    x = 7,915.32

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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.