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Finding the Fourth Proportional to 12,403.40, 17,118.95 and 7,928.55

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Solution

The fourth proportional to 12,403.40, 17,118.95 and 7,928.55 is: 10,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.40 : 17,118.95 = 7,928.55 : x
  2. Step 2: Convert to fraction form
    12,403.40/17,118.95 = 7,928.55/x
  3. Step 3: Cross multiply
    12,403.40x = 17,118.95 × 7,928.55
  4. Step 4: Simplify right side
    12,403.40x = 135,728,411.38
  5. Step 5: Solve for x
    x = 135,728,411.38/12,403.40
  6. Step 6: Final answer
    x = 10,942.84

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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.