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Finding the Fourth Proportional to 12,118.68, 16,728.12 and 7,403.40

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Solution

The fourth proportional to 12,118.68, 16,728.12 and 7,403.40 is: 10,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.68 : 16,728.12 = 7,403.40 : x
  2. Step 2: Convert to fraction form
    12,118.68/16,728.12 = 7,403.40/x
  3. Step 3: Cross multiply
    12,118.68x = 16,728.12 × 7,403.40
  4. Step 4: Simplify right side
    12,118.68x = 123,844,963.61
  5. Step 5: Solve for x
    x = 123,844,963.61/12,118.68
  6. Step 6: Final answer
    x = 10,219.34

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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.