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Finding the Fourth Proportional to 7,550.45, 10,419.45 and 4,193.07

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Solution

The fourth proportional to 7,550.45, 10,419.45 and 4,193.07 is: 5,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.45 : 10,419.45 = 4,193.07 : x
  2. Step 2: Convert to fraction form
    7,550.45/10,419.45 = 4,193.07/x
  3. Step 3: Cross multiply
    7,550.45x = 10,419.45 × 4,193.07
  4. Step 4: Simplify right side
    7,550.45x = 43,689,483.21
  5. Step 5: Solve for x
    x = 43,689,483.21/7,550.45
  6. Step 6: Final answer
    x = 5,786.35

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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.