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Finding the Fourth Proportional to 8,529.93, 11,772 and 4,994.28

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Solution

The fourth proportional to 8,529.93, 11,772 and 4,994.28 is: 6,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.93 : 11,772 = 4,994.28 : x
  2. Step 2: Convert to fraction form
    8,529.93/11,772 = 4,994.28/x
  3. Step 3: Cross multiply
    8,529.93x = 11,772 × 4,994.28
  4. Step 4: Simplify right side
    8,529.93x = 58,792,664.16
  5. Step 5: Solve for x
    x = 58,792,664.16/8,529.93
  6. Step 6: Final answer
    x = 6,892.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.