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Finding the Fourth Proportional to 8,189.61, 11,301.98 and 4,463.61

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Solution

The fourth proportional to 8,189.61, 11,301.98 and 4,463.61 is: 6,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.61 : 11,301.98 = 4,463.61 : x
  2. Step 2: Convert to fraction form
    8,189.61/11,301.98 = 4,463.61/x
  3. Step 3: Cross multiply
    8,189.61x = 11,301.98 × 4,463.61
  4. Step 4: Simplify right side
    8,189.61x = 50,447,608.63
  5. Step 5: Solve for x
    x = 50,447,608.63/8,189.61
  6. Step 6: Final answer
    x = 6,159.95

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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.