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Finding the Fourth Proportional to 12,078.32, 16,664.54 and 7,829.46

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Solution

The fourth proportional to 12,078.32, 16,664.54 and 7,829.46 is: 10,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.32 : 16,664.54 = 7,829.46 : x
  2. Step 2: Convert to fraction form
    12,078.32/16,664.54 = 7,829.46/x
  3. Step 3: Cross multiply
    12,078.32x = 16,664.54 × 7,829.46
  4. Step 4: Simplify right side
    12,078.32x = 130,474,310.20
  5. Step 5: Solve for x
    x = 130,474,310.20/12,078.32
  6. Step 6: Final answer
    x = 10,802.36

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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.