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Finding the Fourth Proportional to 10,451.54, 14,423.05 and 5,671.38

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Solution

The fourth proportional to 10,451.54, 14,423.05 and 5,671.38 is: 7,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.54 : 14,423.05 = 5,671.38 : x
  2. Step 2: Convert to fraction form
    10,451.54/14,423.05 = 5,671.38/x
  3. Step 3: Cross multiply
    10,451.54x = 14,423.05 × 5,671.38
  4. Step 4: Simplify right side
    10,451.54x = 81,798,597.31
  5. Step 5: Solve for x
    x = 81,798,597.31/10,451.54
  6. Step 6: Final answer
    x = 7,826.46

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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.