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Finding the Fourth Proportional to 10,897.94, 16,346.82 and 3,106.78

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Solution

The fourth proportional to 10,897.94, 16,346.82 and 3,106.78 is: 4,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.94 : 16,346.82 = 3,106.78 : x
  2. Step 2: Convert to fraction form
    10,897.94/16,346.82 = 3,106.78/x
  3. Step 3: Cross multiply
    10,897.94x = 16,346.82 × 3,106.78
  4. Step 4: Simplify right side
    10,897.94x = 50,785,973.44
  5. Step 5: Solve for x
    x = 50,785,973.44/10,897.94
  6. Step 6: Final answer
    x = 4,660.14

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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.