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Finding the Fourth Proportional to 10,792.38, 14,895.69 and 6,810.81

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Solution

The fourth proportional to 10,792.38, 14,895.69 and 6,810.81 is: 9,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.38 : 14,895.69 = 6,810.81 : x
  2. Step 2: Convert to fraction form
    10,792.38/14,895.69 = 6,810.81/x
  3. Step 3: Cross multiply
    10,792.38x = 14,895.69 × 6,810.81
  4. Step 4: Simplify right side
    10,792.38x = 101,451,714.41
  5. Step 5: Solve for x
    x = 101,451,714.41/10,792.38
  6. Step 6: Final answer
    x = 9,400.31

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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.