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Finding the Fourth Proportional to 8,201.28, 11,312.88 and 5,055.12

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Solution

The fourth proportional to 8,201.28, 11,312.88 and 5,055.12 is: 6,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.28 : 11,312.88 = 5,055.12 : x
  2. Step 2: Convert to fraction form
    8,201.28/11,312.88 = 5,055.12/x
  3. Step 3: Cross multiply
    8,201.28x = 11,312.88 × 5,055.12
  4. Step 4: Simplify right side
    8,201.28x = 57,187,965.95
  5. Step 5: Solve for x
    x = 57,187,965.95/8,201.28
  6. Step 6: Final answer
    x = 6,973.05

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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.