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Finding the Fourth Proportional to 10,767.10, 14,859.04 and 6,051.38

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Solution

The fourth proportional to 10,767.10, 14,859.04 and 6,051.38 is: 8,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.10 : 14,859.04 = 6,051.38 : x
  2. Step 2: Convert to fraction form
    10,767.10/14,859.04 = 6,051.38/x
  3. Step 3: Cross multiply
    10,767.10x = 14,859.04 × 6,051.38
  4. Step 4: Simplify right side
    10,767.10x = 89,917,697.48
  5. Step 5: Solve for x
    x = 89,917,697.48/10,767.10
  6. Step 6: Final answer
    x = 8,351.15

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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.