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Finding the Fourth Proportional to 11,812.96, 16,301.04 and 6,844

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Solution

The fourth proportional to 11,812.96, 16,301.04 and 6,844 is: 9,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.96 : 16,301.04 = 6,844 : x
  2. Step 2: Convert to fraction form
    11,812.96/16,301.04 = 6,844/x
  3. Step 3: Cross multiply
    11,812.96x = 16,301.04 × 6,844
  4. Step 4: Simplify right side
    11,812.96x = 111,564,317.76
  5. Step 5: Solve for x
    x = 111,564,317.76/11,812.96
  6. Step 6: Final answer
    x = 9,444.23

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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.