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Finding the Fourth Proportional to 8,721.84, 12,022.50 and 7,135.05

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Solution

The fourth proportional to 8,721.84, 12,022.50 and 7,135.05 is: 9,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.84 : 12,022.50 = 7,135.05 : x
  2. Step 2: Convert to fraction form
    8,721.84/12,022.50 = 7,135.05/x
  3. Step 3: Cross multiply
    8,721.84x = 12,022.50 × 7,135.05
  4. Step 4: Simplify right side
    8,721.84x = 85,781,138.63
  5. Step 5: Solve for x
    x = 85,781,138.63/8,721.84
  6. Step 6: Final answer
    x = 9,835.21

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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.