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Finding the Fourth Proportional to 8,185.76, 12,279.24 and 3,501.20

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Solution

The fourth proportional to 8,185.76, 12,279.24 and 3,501.20 is: 5,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.76 : 12,279.24 = 3,501.20 : x
  2. Step 2: Convert to fraction form
    8,185.76/12,279.24 = 3,501.20/x
  3. Step 3: Cross multiply
    8,185.76x = 12,279.24 × 3,501.20
  4. Step 4: Simplify right side
    8,185.76x = 42,992,075.09
  5. Step 5: Solve for x
    x = 42,992,075.09/8,185.76
  6. Step 6: Final answer
    x = 5,252.06

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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.