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Finding the Fourth Proportional to 8,159.90, 12,239.97 and 2,316.51

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Solution

The fourth proportional to 8,159.90, 12,239.97 and 2,316.51 is: 3,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.90 : 12,239.97 = 2,316.51 : x
  2. Step 2: Convert to fraction form
    8,159.90/12,239.97 = 2,316.51/x
  3. Step 3: Cross multiply
    8,159.90x = 12,239.97 × 2,316.51
  4. Step 4: Simplify right side
    8,159.90x = 28,354,012.90
  5. Step 5: Solve for x
    x = 28,354,012.90/8,159.90
  6. Step 6: Final answer
    x = 3,474.80

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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.