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Finding the Fourth Proportional to 10,838.66, 16,257.92 and 3,047.48

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Solution

The fourth proportional to 10,838.66, 16,257.92 and 3,047.48 is: 4,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.66 : 16,257.92 = 3,047.48 : x
  2. Step 2: Convert to fraction form
    10,838.66/16,257.92 = 3,047.48/x
  3. Step 3: Cross multiply
    10,838.66x = 16,257.92 × 3,047.48
  4. Step 4: Simplify right side
    10,838.66x = 49,545,686.04
  5. Step 5: Solve for x
    x = 49,545,686.04/10,838.66
  6. Step 6: Final answer
    x = 4,571.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.