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Finding the Fourth Proportional to 10,842.05, 14,963.64 and 6,863.54

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Solution

The fourth proportional to 10,842.05, 14,963.64 and 6,863.54 is: 9,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.05 : 14,963.64 = 6,863.54 : x
  2. Step 2: Convert to fraction form
    10,842.05/14,963.64 = 6,863.54/x
  3. Step 3: Cross multiply
    10,842.05x = 14,963.64 × 6,863.54
  4. Step 4: Simplify right side
    10,842.05x = 102,703,441.13
  5. Step 5: Solve for x
    x = 102,703,441.13/10,842.05
  6. Step 6: Final answer
    x = 9,472.69

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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.