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Finding the Fourth Proportional to 7,356.54, 10,149.76 and 4,169.32

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Solution

The fourth proportional to 7,356.54, 10,149.76 and 4,169.32 is: 5,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.54 : 10,149.76 = 4,169.32 : x
  2. Step 2: Convert to fraction form
    7,356.54/10,149.76 = 4,169.32/x
  3. Step 3: Cross multiply
    7,356.54x = 10,149.76 × 4,169.32
  4. Step 4: Simplify right side
    7,356.54x = 42,317,597.36
  5. Step 5: Solve for x
    x = 42,317,597.36/7,356.54
  6. Step 6: Final answer
    x = 5,752.38

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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.