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Finding the Fourth Proportional to 8,537.51, 12,805.82 and 2,614.40

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Solution

The fourth proportional to 8,537.51, 12,805.82 and 2,614.40 is: 3,921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.51 : 12,805.82 = 2,614.40 : x
  2. Step 2: Convert to fraction form
    8,537.51/12,805.82 = 2,614.40/x
  3. Step 3: Cross multiply
    8,537.51x = 12,805.82 × 2,614.40
  4. Step 4: Simplify right side
    8,537.51x = 33,479,535.81
  5. Step 5: Solve for x
    x = 33,479,535.81/8,537.51
  6. Step 6: Final answer
    x = 3,921.46

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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.