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Finding the Fourth Proportional to 8,320.53, 12,473.49 and 3,394.32

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Solution

The fourth proportional to 8,320.53, 12,473.49 and 3,394.32 is: 5,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.53 : 12,473.49 = 3,394.32 : x
  2. Step 2: Convert to fraction form
    8,320.53/12,473.49 = 3,394.32/x
  3. Step 3: Cross multiply
    8,320.53x = 12,473.49 × 3,394.32
  4. Step 4: Simplify right side
    8,320.53x = 42,339,016.58
  5. Step 5: Solve for x
    x = 42,339,016.58/8,320.53
  6. Step 6: Final answer
    x = 5,088.50

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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.