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Finding the Fourth Proportional to 11,242.94, 15,529.03 and 8,422.92

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Solution

The fourth proportional to 11,242.94, 15,529.03 and 8,422.92 is: 11,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.94 : 15,529.03 = 8,422.92 : x
  2. Step 2: Convert to fraction form
    11,242.94/15,529.03 = 8,422.92/x
  3. Step 3: Cross multiply
    11,242.94x = 15,529.03 × 8,422.92
  4. Step 4: Simplify right side
    11,242.94x = 130,799,756.31
  5. Step 5: Solve for x
    x = 130,799,756.31/11,242.94
  6. Step 6: Final answer
    x = 11,633.95

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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.