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Finding the Fourth Proportional to 8,008.72, 11,051.76 and 4,471.84

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Solution

The fourth proportional to 8,008.72, 11,051.76 and 4,471.84 is: 6,170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,008.72 : 11,051.76 = 4,471.84 : x
  2. Step 2: Convert to fraction form
    8,008.72/11,051.76 = 4,471.84/x
  3. Step 3: Cross multiply
    8,008.72x = 11,051.76 × 4,471.84
  4. Step 4: Simplify right side
    8,008.72x = 49,421,702.44
  5. Step 5: Solve for x
    x = 49,421,702.44/8,008.72
  6. Step 6: Final answer
    x = 6,170.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.