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Finding the Fourth Proportional to 7,267.68, 10,895.04 and 3,314.88

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Solution

The fourth proportional to 7,267.68, 10,895.04 and 3,314.88 is: 4,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.68 : 10,895.04 = 3,314.88 : x
  2. Step 2: Convert to fraction form
    7,267.68/10,895.04 = 3,314.88/x
  3. Step 3: Cross multiply
    7,267.68x = 10,895.04 × 3,314.88
  4. Step 4: Simplify right side
    7,267.68x = 36,115,750.20
  5. Step 5: Solve for x
    x = 36,115,750.20/7,267.68
  6. Step 6: Final answer
    x = 4,969.36

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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.