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Finding the Fourth Proportional to 8,623.84, 11,893.68 and 5,306.08

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Solution

The fourth proportional to 8,623.84, 11,893.68 and 5,306.08 is: 7,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.84 : 11,893.68 = 5,306.08 : x
  2. Step 2: Convert to fraction form
    8,623.84/11,893.68 = 5,306.08/x
  3. Step 3: Cross multiply
    8,623.84x = 11,893.68 × 5,306.08
  4. Step 4: Simplify right side
    8,623.84x = 63,108,817.57
  5. Step 5: Solve for x
    x = 63,108,817.57/8,623.84
  6. Step 6: Final answer
    x = 7,317.95

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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.