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Finding the Fourth Proportional to 11,906.19, 16,431.74 and 6,602.02

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Solution

The fourth proportional to 11,906.19, 16,431.74 and 6,602.02 is: 9,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.19 : 16,431.74 = 6,602.02 : x
  2. Step 2: Convert to fraction form
    11,906.19/16,431.74 = 6,602.02/x
  3. Step 3: Cross multiply
    11,906.19x = 16,431.74 × 6,602.02
  4. Step 4: Simplify right side
    11,906.19x = 108,482,676.11
  5. Step 5: Solve for x
    x = 108,482,676.11/11,906.19
  6. Step 6: Final answer
    x = 9,111.45

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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.