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Finding the Fourth Proportional to 8,670.26, 13,006.74 and 2,825.51

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Solution

The fourth proportional to 8,670.26, 13,006.74 and 2,825.51 is: 4,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.26 : 13,006.74 = 2,825.51 : x
  2. Step 2: Convert to fraction form
    8,670.26/13,006.74 = 2,825.51/x
  3. Step 3: Cross multiply
    8,670.26x = 13,006.74 × 2,825.51
  4. Step 4: Simplify right side
    8,670.26x = 36,750,673.94
  5. Step 5: Solve for x
    x = 36,750,673.94/8,670.26
  6. Step 6: Final answer
    x = 4,238.70

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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.