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Finding the Fourth Proportional to 11,192.96, 16,782.72 and 5,271.20

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Solution

The fourth proportional to 11,192.96, 16,782.72 and 5,271.20 is: 7,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.96 : 16,782.72 = 5,271.20 : x
  2. Step 2: Convert to fraction form
    11,192.96/16,782.72 = 5,271.20/x
  3. Step 3: Cross multiply
    11,192.96x = 16,782.72 × 5,271.20
  4. Step 4: Simplify right side
    11,192.96x = 88,465,094.95
  5. Step 5: Solve for x
    x = 88,465,094.95/11,192.96
  6. Step 6: Final answer
    x = 7,903.64

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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.