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Finding the Fourth Proportional to 8,075.76, 12,105 and 4,176.24

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Solution

The fourth proportional to 8,075.76, 12,105 and 4,176.24 is: 6,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.76 : 12,105 = 4,176.24 : x
  2. Step 2: Convert to fraction form
    8,075.76/12,105 = 4,176.24/x
  3. Step 3: Cross multiply
    8,075.76x = 12,105 × 4,176.24
  4. Step 4: Simplify right side
    8,075.76x = 50,553,385.20
  5. Step 5: Solve for x
    x = 50,553,385.20/8,075.76
  6. Step 6: Final answer
    x = 6,259.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.