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Finding the Fourth Proportional to 8,140.29, 11,233.08 and 4,602.84

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Solution

The fourth proportional to 8,140.29, 11,233.08 and 4,602.84 is: 6,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.29 : 11,233.08 = 4,602.84 : x
  2. Step 2: Convert to fraction form
    8,140.29/11,233.08 = 4,602.84/x
  3. Step 3: Cross multiply
    8,140.29x = 11,233.08 × 4,602.84
  4. Step 4: Simplify right side
    8,140.29x = 51,704,069.95
  5. Step 5: Solve for x
    x = 51,704,069.95/8,140.29
  6. Step 6: Final answer
    x = 6,351.63

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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.