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Finding the Fourth Proportional to 8,640.84, 11,924.10 and 4,864.23

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Solution

The fourth proportional to 8,640.84, 11,924.10 and 4,864.23 is: 6,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.84 : 11,924.10 = 4,864.23 : x
  2. Step 2: Convert to fraction form
    8,640.84/11,924.10 = 4,864.23/x
  3. Step 3: Cross multiply
    8,640.84x = 11,924.10 × 4,864.23
  4. Step 4: Simplify right side
    8,640.84x = 58,001,564.94
  5. Step 5: Solve for x
    x = 58,001,564.94/8,640.84
  6. Step 6: Final answer
    x = 6,712.49

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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.