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Finding the Fourth Proportional to 8,303.04, 12,450.24 and 3,105

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Solution

The fourth proportional to 8,303.04, 12,450.24 and 3,105 is: 4,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.04 : 12,450.24 = 3,105 : x
  2. Step 2: Convert to fraction form
    8,303.04/12,450.24 = 3,105/x
  3. Step 3: Cross multiply
    8,303.04x = 12,450.24 × 3,105
  4. Step 4: Simplify right side
    8,303.04x = 38,657,995.20
  5. Step 5: Solve for x
    x = 38,657,995.20/8,303.04
  6. Step 6: Final answer
    x = 4,655.88

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Why These Related Problems?

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