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Finding the Fourth Proportional to 11,029.12, 16,548.16 and 7,084.80

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Solution

The fourth proportional to 11,029.12, 16,548.16 and 7,084.80 is: 10,630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029.12 : 16,548.16 = 7,084.80 : x
  2. Step 2: Convert to fraction form
    11,029.12/16,548.16 = 7,084.80/x
  3. Step 3: Cross multiply
    11,029.12x = 16,548.16 × 7,084.80
  4. Step 4: Simplify right side
    11,029.12x = 117,240,403.97
  5. Step 5: Solve for x
    x = 117,240,403.97/11,029.12
  6. Step 6: Final answer
    x = 10,630.08

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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.