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Finding the Fourth Proportional to 10,859.78, 16,317 and 6,912.86

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Solution

The fourth proportional to 10,859.78, 16,317 and 6,912.86 is: 10,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.78 : 16,317 = 6,912.86 : x
  2. Step 2: Convert to fraction form
    10,859.78/16,317 = 6,912.86/x
  3. Step 3: Cross multiply
    10,859.78x = 16,317 × 6,912.86
  4. Step 4: Simplify right side
    10,859.78x = 112,797,055.04
  5. Step 5: Solve for x
    x = 112,797,055.04/10,859.78
  6. Step 6: Final answer
    x = 10,386.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.