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Finding the Fourth Proportional to 8,349.60, 12,523.14 and 2,802

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Solution

The fourth proportional to 8,349.60, 12,523.14 and 2,802 is: 4,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.60 : 12,523.14 = 2,802 : x
  2. Step 2: Convert to fraction form
    8,349.60/12,523.14 = 2,802/x
  3. Step 3: Cross multiply
    8,349.60x = 12,523.14 × 2,802
  4. Step 4: Simplify right side
    8,349.60x = 35,089,838.28
  5. Step 5: Solve for x
    x = 35,089,838.28/8,349.60
  6. Step 6: Final answer
    x = 4,202.58

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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.