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Finding the Fourth Proportional to 8,322.92, 12,482.88 and 3,642.02

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Solution

The fourth proportional to 8,322.92, 12,482.88 and 3,642.02 is: 5,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.92 : 12,482.88 = 3,642.02 : x
  2. Step 2: Convert to fraction form
    8,322.92/12,482.88 = 3,642.02/x
  3. Step 3: Cross multiply
    8,322.92x = 12,482.88 × 3,642.02
  4. Step 4: Simplify right side
    8,322.92x = 45,462,898.62
  5. Step 5: Solve for x
    x = 45,462,898.62/8,322.92
  6. Step 6: Final answer
    x = 5,462.37

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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.