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Finding the Fourth Proportional to 8,092.32, 11,167.04 and 4,507.47

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Solution

The fourth proportional to 8,092.32, 11,167.04 and 4,507.47 is: 6,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.32 : 11,167.04 = 4,507.47 : x
  2. Step 2: Convert to fraction form
    8,092.32/11,167.04 = 4,507.47/x
  3. Step 3: Cross multiply
    8,092.32x = 11,167.04 × 4,507.47
  4. Step 4: Simplify right side
    8,092.32x = 50,335,075.25
  5. Step 5: Solve for x
    x = 50,335,075.25/8,092.32
  6. Step 6: Final answer
    x = 6,220.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.