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Finding the Fourth Proportional to 8,486.34, 12,721.83 and 3,013.06

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Solution

The fourth proportional to 8,486.34, 12,721.83 and 3,013.06 is: 4,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.34 : 12,721.83 = 3,013.06 : x
  2. Step 2: Convert to fraction form
    8,486.34/12,721.83 = 3,013.06/x
  3. Step 3: Cross multiply
    8,486.34x = 12,721.83 × 3,013.06
  4. Step 4: Simplify right side
    8,486.34x = 38,331,637.10
  5. Step 5: Solve for x
    x = 38,331,637.10/8,486.34
  6. Step 6: Final answer
    x = 4,516.86

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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.