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Finding the Fourth Proportional to 11,032.75, 16,554.62 and 6,871.71

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Solution

The fourth proportional to 11,032.75, 16,554.62 and 6,871.71 is: 10,310.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.75 : 16,554.62 = 6,871.71 : x
  2. Step 2: Convert to fraction form
    11,032.75/16,554.62 = 6,871.71/x
  3. Step 3: Cross multiply
    11,032.75x = 16,554.62 × 6,871.71
  4. Step 4: Simplify right side
    11,032.75x = 113,758,547.80
  5. Step 5: Solve for x
    x = 113,758,547.80/11,032.75
  6. Step 6: Final answer
    x = 10,310.99

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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.