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Finding the Fourth Proportional to 10,791.36, 14,892.20 and 6,075.72

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Solution

The fourth proportional to 10,791.36, 14,892.20 and 6,075.72 is: 8,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.36 : 14,892.20 = 6,075.72 : x
  2. Step 2: Convert to fraction form
    10,791.36/14,892.20 = 6,075.72/x
  3. Step 3: Cross multiply
    10,791.36x = 14,892.20 × 6,075.72
  4. Step 4: Simplify right side
    10,791.36x = 90,480,837.38
  5. Step 5: Solve for x
    x = 90,480,837.38/10,791.36
  6. Step 6: Final answer
    x = 8,384.56

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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.