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Finding the Fourth Proportional to 8,301.36, 12,455 and 4,141

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Solution

The fourth proportional to 8,301.36, 12,455 and 4,141 is: 6,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.36 : 12,455 = 4,141 : x
  2. Step 2: Convert to fraction form
    8,301.36/12,455 = 4,141/x
  3. Step 3: Cross multiply
    8,301.36x = 12,455 × 4,141
  4. Step 4: Simplify right side
    8,301.36x = 51,576,155
  5. Step 5: Solve for x
    x = 51,576,155/8,301.36
  6. Step 6: Final answer
    x = 6,212.98

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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.