Home / 7,822.36-11,732.46-4,537

Finding the Fourth Proportional to 7,822.36, 11,732.46 and 4,537

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Solution

The fourth proportional to 7,822.36, 11,732.46 and 4,537 is: 6,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.36 : 11,732.46 = 4,537 : x
  2. Step 2: Convert to fraction form
    7,822.36/11,732.46 = 4,537/x
  3. Step 3: Cross multiply
    7,822.36x = 11,732.46 × 4,537
  4. Step 4: Simplify right side
    7,822.36x = 53,230,171.02
  5. Step 5: Solve for x
    x = 53,230,171.02/7,822.36
  6. Step 6: Final answer
    x = 6,804.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.