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Finding the Fourth Proportional to 8,537.81, 11,788.24 and 7,125.14

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Solution

The fourth proportional to 8,537.81, 11,788.24 and 7,125.14 is: 9,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.81 : 11,788.24 = 7,125.14 : x
  2. Step 2: Convert to fraction form
    8,537.81/11,788.24 = 7,125.14/x
  3. Step 3: Cross multiply
    8,537.81x = 11,788.24 × 7,125.14
  4. Step 4: Simplify right side
    8,537.81x = 83,992,872.01
  5. Step 5: Solve for x
    x = 83,992,872.01/8,537.81
  6. Step 6: Final answer
    x = 9,837.76

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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.