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Finding the Fourth Proportional to 11,537.87, 15,921.80 and 6,503.11

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Solution

The fourth proportional to 11,537.87, 15,921.80 and 6,503.11 is: 8,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.87 : 15,921.80 = 6,503.11 : x
  2. Step 2: Convert to fraction form
    11,537.87/15,921.80 = 6,503.11/x
  3. Step 3: Cross multiply
    11,537.87x = 15,921.80 × 6,503.11
  4. Step 4: Simplify right side
    11,537.87x = 103,541,193.25
  5. Step 5: Solve for x
    x = 103,541,193.25/11,537.87
  6. Step 6: Final answer
    x = 8,974.03

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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.