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Finding the Fourth Proportional to 8,406.51, 11,603.18 and 4,869.27

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Solution

The fourth proportional to 8,406.51, 11,603.18 and 4,869.27 is: 6,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.51 : 11,603.18 = 4,869.27 : x
  2. Step 2: Convert to fraction form
    8,406.51/11,603.18 = 4,869.27/x
  3. Step 3: Cross multiply
    8,406.51x = 11,603.18 × 4,869.27
  4. Step 4: Simplify right side
    8,406.51x = 56,498,991.93
  5. Step 5: Solve for x
    x = 56,498,991.93/8,406.51
  6. Step 6: Final answer
    x = 6,720.86

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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.