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Finding the Fourth Proportional to 11,002.88, 16,494.08 and 4,072

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Solution

The fourth proportional to 11,002.88, 16,494.08 and 4,072 is: 6,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.88 : 16,494.08 = 4,072 : x
  2. Step 2: Convert to fraction form
    11,002.88/16,494.08 = 4,072/x
  3. Step 3: Cross multiply
    11,002.88x = 16,494.08 × 4,072
  4. Step 4: Simplify right side
    11,002.88x = 67,163,893.76
  5. Step 5: Solve for x
    x = 67,163,893.76/11,002.88
  6. Step 6: Final answer
    x = 6,104.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.