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Finding the Fourth Proportional to 10,205.66, 15,300.79 and 6,696.56

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Solution

The fourth proportional to 10,205.66, 15,300.79 and 6,696.56 is: 10,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.66 : 15,300.79 = 6,696.56 : x
  2. Step 2: Convert to fraction form
    10,205.66/15,300.79 = 6,696.56/x
  3. Step 3: Cross multiply
    10,205.66x = 15,300.79 × 6,696.56
  4. Step 4: Simplify right side
    10,205.66x = 102,462,679.79
  5. Step 5: Solve for x
    x = 102,462,679.79/10,205.66
  6. Step 6: Final answer
    x = 10,039.79

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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.