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Finding the Fourth Proportional to 8,126.84, 12,189.14 and 3,509.24

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Solution

The fourth proportional to 8,126.84, 12,189.14 and 3,509.24 is: 5,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.84 : 12,189.14 = 3,509.24 : x
  2. Step 2: Convert to fraction form
    8,126.84/12,189.14 = 3,509.24/x
  3. Step 3: Cross multiply
    8,126.84x = 12,189.14 × 3,509.24
  4. Step 4: Simplify right side
    8,126.84x = 42,774,617.65
  5. Step 5: Solve for x
    x = 42,774,617.65/8,126.84
  6. Step 6: Final answer
    x = 5,263.38

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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.