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Finding the Fourth Proportional to 12,329.16, 17,009.46 and 7,852.11

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Solution

The fourth proportional to 12,329.16, 17,009.46 and 7,852.11 is: 10,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.16 : 17,009.46 = 7,852.11 : x
  2. Step 2: Convert to fraction form
    12,329.16/17,009.46 = 7,852.11/x
  3. Step 3: Cross multiply
    12,329.16x = 17,009.46 × 7,852.11
  4. Step 4: Simplify right side
    12,329.16x = 133,560,150.96
  5. Step 5: Solve for x
    x = 133,560,150.96/12,329.16
  6. Step 6: Final answer
    x = 10,832.87

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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.