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Finding the Fourth Proportional to 8,265.63, 11,407.61 and 5,122.29

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Solution

The fourth proportional to 8,265.63, 11,407.61 and 5,122.29 is: 7,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.63 : 11,407.61 = 5,122.29 : x
  2. Step 2: Convert to fraction form
    8,265.63/11,407.61 = 5,122.29/x
  3. Step 3: Cross multiply
    8,265.63x = 11,407.61 × 5,122.29
  4. Step 4: Simplify right side
    8,265.63x = 58,433,003.98
  5. Step 5: Solve for x
    x = 58,433,003.98/8,265.63
  6. Step 6: Final answer
    x = 7,069.40

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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.