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Finding the Fourth Proportional to 12,035.88, 16,610.16 and 6,730.38

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Solution

The fourth proportional to 12,035.88, 16,610.16 and 6,730.38 is: 9,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.88 : 16,610.16 = 6,730.38 : x
  2. Step 2: Convert to fraction form
    12,035.88/16,610.16 = 6,730.38/x
  3. Step 3: Cross multiply
    12,035.88x = 16,610.16 × 6,730.38
  4. Step 4: Simplify right side
    12,035.88x = 111,792,688.66
  5. Step 5: Solve for x
    x = 111,792,688.66/12,035.88
  6. Step 6: Final answer
    x = 9,288.29

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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.