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Finding the Fourth Proportional to 8,356.89, 11,525.97 and 5,373

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Solution

The fourth proportional to 8,356.89, 11,525.97 and 5,373 is: 7,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.89 : 11,525.97 = 5,373 : x
  2. Step 2: Convert to fraction form
    8,356.89/11,525.97 = 5,373/x
  3. Step 3: Cross multiply
    8,356.89x = 11,525.97 × 5,373
  4. Step 4: Simplify right side
    8,356.89x = 61,929,036.81
  5. Step 5: Solve for x
    x = 61,929,036.81/8,356.89
  6. Step 6: Final answer
    x = 7,410.54

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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.