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Finding the Fourth Proportional to 8,431.66, 11,640.35 and 5,075.30

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Solution

The fourth proportional to 8,431.66, 11,640.35 and 5,075.30 is: 7,006.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.66 : 11,640.35 = 5,075.30 : x
  2. Step 2: Convert to fraction form
    8,431.66/11,640.35 = 5,075.30/x
  3. Step 3: Cross multiply
    8,431.66x = 11,640.35 × 5,075.30
  4. Step 4: Simplify right side
    8,431.66x = 59,078,310.14
  5. Step 5: Solve for x
    x = 59,078,310.14/8,431.66
  6. Step 6: Final answer
    x = 7,006.72

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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.