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Finding the Fourth Proportional to 12,608.42, 17,411.42 and 7,900.90

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Solution

The fourth proportional to 12,608.42, 17,411.42 and 7,900.90 is: 10,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.42 : 17,411.42 = 7,900.90 : x
  2. Step 2: Convert to fraction form
    12,608.42/17,411.42 = 7,900.90/x
  3. Step 3: Cross multiply
    12,608.42x = 17,411.42 × 7,900.90
  4. Step 4: Simplify right side
    12,608.42x = 137,565,864.50
  5. Step 5: Solve for x
    x = 137,565,864.50/12,608.42
  6. Step 6: Final answer
    x = 10,910.64

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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.