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Finding the Fourth Proportional to 11,892.40, 16,411.24 and 6,856.60

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Solution

The fourth proportional to 11,892.40, 16,411.24 and 6,856.60 is: 9,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.40 : 16,411.24 = 6,856.60 : x
  2. Step 2: Convert to fraction form
    11,892.40/16,411.24 = 6,856.60/x
  3. Step 3: Cross multiply
    11,892.40x = 16,411.24 × 6,856.60
  4. Step 4: Simplify right side
    11,892.40x = 112,525,308.18
  5. Step 5: Solve for x
    x = 112,525,308.18/11,892.40
  6. Step 6: Final answer
    x = 9,461.95

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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.