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Finding the Fourth Proportional to 12,406.52, 17,120.58 and 6,817.40

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Solution

The fourth proportional to 12,406.52, 17,120.58 and 6,817.40 is: 9,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.52 : 17,120.58 = 6,817.40 : x
  2. Step 2: Convert to fraction form
    12,406.52/17,120.58 = 6,817.40/x
  3. Step 3: Cross multiply
    12,406.52x = 17,120.58 × 6,817.40
  4. Step 4: Simplify right side
    12,406.52x = 116,717,842.09
  5. Step 5: Solve for x
    x = 116,717,842.09/12,406.52
  6. Step 6: Final answer
    x = 9,407.78

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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.