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Finding the Fourth Proportional to 11,951.71, 16,492.02 and 6,646.21

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Solution

The fourth proportional to 11,951.71, 16,492.02 and 6,646.21 is: 9,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.71 : 16,492.02 = 6,646.21 : x
  2. Step 2: Convert to fraction form
    11,951.71/16,492.02 = 6,646.21/x
  3. Step 3: Cross multiply
    11,951.71x = 16,492.02 × 6,646.21
  4. Step 4: Simplify right side
    11,951.71x = 109,609,428.24
  5. Step 5: Solve for x
    x = 109,609,428.24/11,951.71
  6. Step 6: Final answer
    x = 9,171.02

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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.