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Finding the Fourth Proportional to 11,316.71, 16,969.57 and 6,638.25

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Solution

The fourth proportional to 11,316.71, 16,969.57 and 6,638.25 is: 9,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316.71 : 16,969.57 = 6,638.25 : x
  2. Step 2: Convert to fraction form
    11,316.71/16,969.57 = 6,638.25/x
  3. Step 3: Cross multiply
    11,316.71x = 16,969.57 × 6,638.25
  4. Step 4: Simplify right side
    11,316.71x = 112,648,248.05
  5. Step 5: Solve for x
    x = 112,648,248.05/11,316.71
  6. Step 6: Final answer
    x = 9,954.15

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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.