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Finding the Fourth Proportional to 8,301.57, 11,456.01 and 4,524.77

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Solution

The fourth proportional to 8,301.57, 11,456.01 and 4,524.77 is: 6,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.57 : 11,456.01 = 4,524.77 : x
  2. Step 2: Convert to fraction form
    8,301.57/11,456.01 = 4,524.77/x
  3. Step 3: Cross multiply
    8,301.57x = 11,456.01 × 4,524.77
  4. Step 4: Simplify right side
    8,301.57x = 51,835,810.37
  5. Step 5: Solve for x
    x = 51,835,810.37/8,301.57
  6. Step 6: Final answer
    x = 6,244.10

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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.