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Finding the Fourth Proportional to 8,537.07, 12,807.48 and 2,614.00

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Solution

The fourth proportional to 8,537.07, 12,807.48 and 2,614.00 is: 3,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.07 : 12,807.48 = 2,614.00 : x
  2. Step 2: Convert to fraction form
    8,537.07/12,807.48 = 2,614.00/x
  3. Step 3: Cross multiply
    8,537.07x = 12,807.48 × 2,614.00
  4. Step 4: Simplify right side
    8,537.07x = 33,478,720.70
  5. Step 5: Solve for x
    x = 33,478,720.70/8,537.07
  6. Step 6: Final answer
    x = 3,921.57

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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.