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Finding the Fourth Proportional to 8,135.71, 12,203.26 and 2,292.18

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Solution

The fourth proportional to 8,135.71, 12,203.26 and 2,292.18 is: 3,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.71 : 12,203.26 = 2,292.18 : x
  2. Step 2: Convert to fraction form
    8,135.71/12,203.26 = 2,292.18/x
  3. Step 3: Cross multiply
    8,135.71x = 12,203.26 × 2,292.18
  4. Step 4: Simplify right side
    8,135.71x = 27,972,068.51
  5. Step 5: Solve for x
    x = 27,972,068.51/8,135.71
  6. Step 6: Final answer
    x = 3,438.18

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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.