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Finding the Fourth Proportional to 10,796.58, 14,904.81 and 6,821.82

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Solution

The fourth proportional to 10,796.58, 14,904.81 and 6,821.82 is: 9,417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.58 : 14,904.81 = 6,821.82 : x
  2. Step 2: Convert to fraction form
    10,796.58/14,904.81 = 6,821.82/x
  3. Step 3: Cross multiply
    10,796.58x = 14,904.81 × 6,821.82
  4. Step 4: Simplify right side
    10,796.58x = 101,677,930.95
  5. Step 5: Solve for x
    x = 101,677,930.95/10,796.58
  6. Step 6: Final answer
    x = 9,417.61

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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.