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Finding the Fourth Proportional to 12,975.40, 17,906.90 and 7,309.61

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Solution

The fourth proportional to 12,975.40, 17,906.90 and 7,309.61 is: 10,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.40 : 17,906.90 = 7,309.61 : x
  2. Step 2: Convert to fraction form
    12,975.40/17,906.90 = 7,309.61/x
  3. Step 3: Cross multiply
    12,975.40x = 17,906.90 × 7,309.61
  4. Step 4: Simplify right side
    12,975.40x = 130,892,454.71
  5. Step 5: Solve for x
    x = 130,892,454.71/12,975.40
  6. Step 6: Final answer
    x = 10,087.74

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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.