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Finding the Fourth Proportional to 8,005.21, 11,051.36 and 4,862.41

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Solution

The fourth proportional to 8,005.21, 11,051.36 and 4,862.41 is: 6,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.21 : 11,051.36 = 4,862.41 : x
  2. Step 2: Convert to fraction form
    8,005.21/11,051.36 = 4,862.41/x
  3. Step 3: Cross multiply
    8,005.21x = 11,051.36 × 4,862.41
  4. Step 4: Simplify right side
    8,005.21x = 53,736,243.38
  5. Step 5: Solve for x
    x = 53,736,243.38/8,005.21
  6. Step 6: Final answer
    x = 6,712.66

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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.