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Finding the Fourth Proportional to 8,569.38, 11,824.83 and 4,792.16

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Solution

The fourth proportional to 8,569.38, 11,824.83 and 4,792.16 is: 6,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.38 : 11,824.83 = 4,792.16 : x
  2. Step 2: Convert to fraction form
    8,569.38/11,824.83 = 4,792.16/x
  3. Step 3: Cross multiply
    8,569.38x = 11,824.83 × 4,792.16
  4. Step 4: Simplify right side
    8,569.38x = 56,666,418.21
  5. Step 5: Solve for x
    x = 56,666,418.21/8,569.38
  6. Step 6: Final answer
    x = 6,612.66

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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.