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Finding the Fourth Proportional to 12,040, 16,615.20 and 6,734.40

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Solution

The fourth proportional to 12,040, 16,615.20 and 6,734.40 is: 9,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,040 : 16,615.20 = 6,734.40 : x
  2. Step 2: Convert to fraction form
    12,040/16,615.20 = 6,734.40/x
  3. Step 3: Cross multiply
    12,040x = 16,615.20 × 6,734.40
  4. Step 4: Simplify right side
    12,040x = 111,893,402.88
  5. Step 5: Solve for x
    x = 111,893,402.88/12,040
  6. Step 6: Final answer
    x = 9,293.47

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