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Finding the Fourth Proportional to 10,838.48, 16,243.14 and 7,903.04

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Solution

The fourth proportional to 10,838.48, 16,243.14 and 7,903.04 is: 11,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.48 : 16,243.14 = 7,903.04 : x
  2. Step 2: Convert to fraction form
    10,838.48/16,243.14 = 7,903.04/x
  3. Step 3: Cross multiply
    10,838.48x = 16,243.14 × 7,903.04
  4. Step 4: Simplify right side
    10,838.48x = 128,370,185.15
  5. Step 5: Solve for x
    x = 128,370,185.15/10,838.48
  6. Step 6: Final answer
    x = 11,843.93

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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.