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Finding the Fourth Proportional to 8,008.72, 11,051.56 and 4,472.16

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Solution

The fourth proportional to 8,008.72, 11,051.56 and 4,472.16 is: 6,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,008.72 : 11,051.56 = 4,472.16 : x
  2. Step 2: Convert to fraction form
    8,008.72/11,051.56 = 4,472.16/x
  3. Step 3: Cross multiply
    8,008.72x = 11,051.56 × 4,472.16
  4. Step 4: Simplify right side
    8,008.72x = 49,424,344.57
  5. Step 5: Solve for x
    x = 49,424,344.57/8,008.72
  6. Step 6: Final answer
    x = 6,171.32

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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.