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Finding the Fourth Proportional to 12,083.76, 16,674.03 and 7,047.32

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Solution

The fourth proportional to 12,083.76, 16,674.03 and 7,047.32 is: 9,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.76 : 16,674.03 = 7,047.32 : x
  2. Step 2: Convert to fraction form
    12,083.76/16,674.03 = 7,047.32/x
  3. Step 3: Cross multiply
    12,083.76x = 16,674.03 × 7,047.32
  4. Step 4: Simplify right side
    12,083.76x = 117,507,141.73
  5. Step 5: Solve for x
    x = 117,507,141.73/12,083.76
  6. Step 6: Final answer
    x = 9,724.39

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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.