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Finding the Fourth Proportional to 10,883.02, 16,274.64 and 8,111.62

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Solution

The fourth proportional to 10,883.02, 16,274.64 and 8,111.62 is: 12,130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.02 : 16,274.64 = 8,111.62 : x
  2. Step 2: Convert to fraction form
    10,883.02/16,274.64 = 8,111.62/x
  3. Step 3: Cross multiply
    10,883.02x = 16,274.64 × 8,111.62
  4. Step 4: Simplify right side
    10,883.02x = 132,013,695.32
  5. Step 5: Solve for x
    x = 132,013,695.32/10,883.02
  6. Step 6: Final answer
    x = 12,130.24

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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.