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Finding the Fourth Proportional to 11,951.24, 16,492.49 and 6,646.01

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Solution

The fourth proportional to 11,951.24, 16,492.49 and 6,646.01 is: 9,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.24 : 16,492.49 = 6,646.01 : x
  2. Step 2: Convert to fraction form
    11,951.24/16,492.49 = 6,646.01/x
  3. Step 3: Cross multiply
    11,951.24x = 16,492.49 × 6,646.01
  4. Step 4: Simplify right side
    11,951.24x = 109,609,253.46
  5. Step 5: Solve for x
    x = 109,609,253.46/11,951.24
  6. Step 6: Final answer
    x = 9,171.37

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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.