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Finding the Fourth Proportional to 10,227.77, 14,121.32 and 7,833.51

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Solution

The fourth proportional to 10,227.77, 14,121.32 and 7,833.51 is: 10,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.77 : 14,121.32 = 7,833.51 : x
  2. Step 2: Convert to fraction form
    10,227.77/14,121.32 = 7,833.51/x
  3. Step 3: Cross multiply
    10,227.77x = 14,121.32 × 7,833.51
  4. Step 4: Simplify right side
    10,227.77x = 110,619,430.83
  5. Step 5: Solve for x
    x = 110,619,430.83/10,227.77
  6. Step 6: Final answer
    x = 10,815.60

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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.