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Finding the Fourth Proportional to 12,055.97, 16,639.21 and 7,210.38

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Solution

The fourth proportional to 12,055.97, 16,639.21 and 7,210.38 is: 9,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,055.97 : 16,639.21 = 7,210.38 : x
  2. Step 2: Convert to fraction form
    12,055.97/16,639.21 = 7,210.38/x
  3. Step 3: Cross multiply
    12,055.97x = 16,639.21 × 7,210.38
  4. Step 4: Simplify right side
    12,055.97x = 119,975,057.85
  5. Step 5: Solve for x
    x = 119,975,057.85/12,055.97
  6. Step 6: Final answer
    x = 9,951.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.