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Finding the Fourth Proportional to 10,511.29, 14,506.62 and 7,854.09

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Solution

The fourth proportional to 10,511.29, 14,506.62 and 7,854.09 is: 10,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.29 : 14,506.62 = 7,854.09 : x
  2. Step 2: Convert to fraction form
    10,511.29/14,506.62 = 7,854.09/x
  3. Step 3: Cross multiply
    10,511.29x = 14,506.62 × 7,854.09
  4. Step 4: Simplify right side
    10,511.29x = 113,936,278.11
  5. Step 5: Solve for x
    x = 113,936,278.11/10,511.29
  6. Step 6: Final answer
    x = 10,839.41

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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.