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Finding the Fourth Proportional to 8,138.95, 11,231.84 and 4,602.08

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Solution

The fourth proportional to 8,138.95, 11,231.84 and 4,602.08 is: 6,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.95 : 11,231.84 = 4,602.08 : x
  2. Step 2: Convert to fraction form
    8,138.95/11,231.84 = 4,602.08/x
  3. Step 3: Cross multiply
    8,138.95x = 11,231.84 × 4,602.08
  4. Step 4: Simplify right side
    8,138.95x = 51,689,826.23
  5. Step 5: Solve for x
    x = 51,689,826.23/8,138.95
  6. Step 6: Final answer
    x = 6,350.92

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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.