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Finding the Fourth Proportional to 8,614.26, 12,897.06 and 5,486.52

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Solution

The fourth proportional to 8,614.26, 12,897.06 and 5,486.52 is: 8,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.26 : 12,897.06 = 5,486.52 : x
  2. Step 2: Convert to fraction form
    8,614.26/12,897.06 = 5,486.52/x
  3. Step 3: Cross multiply
    8,614.26x = 12,897.06 × 5,486.52
  4. Step 4: Simplify right side
    8,614.26x = 70,759,977.63
  5. Step 5: Solve for x
    x = 70,759,977.63/8,614.26
  6. Step 6: Final answer
    x = 8,214.28

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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.