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Finding the Fourth Proportional to 8,304.06, 11,460.17 and 5,075.27

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Solution

The fourth proportional to 8,304.06, 11,460.17 and 5,075.27 is: 7,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.06 : 11,460.17 = 5,075.27 : x
  2. Step 2: Convert to fraction form
    8,304.06/11,460.17 = 5,075.27/x
  3. Step 3: Cross multiply
    8,304.06x = 11,460.17 × 5,075.27
  4. Step 4: Simplify right side
    8,304.06x = 58,163,412.38
  5. Step 5: Solve for x
    x = 58,163,412.38/8,304.06
  6. Step 6: Final answer
    x = 7,004.21

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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.