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Finding the Fourth Proportional to 12,811.83, 17,680.41 and 7,506.69

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Solution

The fourth proportional to 12,811.83, 17,680.41 and 7,506.69 is: 10,359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.83 : 17,680.41 = 7,506.69 : x
  2. Step 2: Convert to fraction form
    12,811.83/17,680.41 = 7,506.69/x
  3. Step 3: Cross multiply
    12,811.83x = 17,680.41 × 7,506.69
  4. Step 4: Simplify right side
    12,811.83x = 132,721,356.94
  5. Step 5: Solve for x
    x = 132,721,356.94/12,811.83
  6. Step 6: Final answer
    x = 10,359.28

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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.