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Finding the Fourth Proportional to 7,592.70, 10,475.82 and 4,448.28

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Solution

The fourth proportional to 7,592.70, 10,475.82 and 4,448.28 is: 6,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.70 : 10,475.82 = 4,448.28 : x
  2. Step 2: Convert to fraction form
    7,592.70/10,475.82 = 4,448.28/x
  3. Step 3: Cross multiply
    7,592.70x = 10,475.82 × 4,448.28
  4. Step 4: Simplify right side
    7,592.70x = 46,599,380.59
  5. Step 5: Solve for x
    x = 46,599,380.59/7,592.70
  6. Step 6: Final answer
    x = 6,137.39

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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.