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Finding the Fourth Proportional to 8,358.04, 12,532.16 and 3,164.32

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Solution

The fourth proportional to 8,358.04, 12,532.16 and 3,164.32 is: 4,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.04 : 12,532.16 = 3,164.32 : x
  2. Step 2: Convert to fraction form
    8,358.04/12,532.16 = 3,164.32/x
  3. Step 3: Cross multiply
    8,358.04x = 12,532.16 × 3,164.32
  4. Step 4: Simplify right side
    8,358.04x = 39,655,764.53
  5. Step 5: Solve for x
    x = 39,655,764.53/8,358.04
  6. Step 6: Final answer
    x = 4,744.62

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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.