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Finding the Fourth Proportional to 10,454.20, 14,425.71 and 5,917.39

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Solution

The fourth proportional to 10,454.20, 14,425.71 and 5,917.39 is: 8,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.20 : 14,425.71 = 5,917.39 : x
  2. Step 2: Convert to fraction form
    10,454.20/14,425.71 = 5,917.39/x
  3. Step 3: Cross multiply
    10,454.20x = 14,425.71 × 5,917.39
  4. Step 4: Simplify right side
    10,454.20x = 85,362,552.10
  5. Step 5: Solve for x
    x = 85,362,552.10/10,454.20
  6. Step 6: Final answer
    x = 8,165.38

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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.