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Finding the Fourth Proportional to 8,503.16, 11,735.99 and 5,819.81

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Solution

The fourth proportional to 8,503.16, 11,735.99 and 5,819.81 is: 8,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.16 : 11,735.99 = 5,819.81 : x
  2. Step 2: Convert to fraction form
    8,503.16/11,735.99 = 5,819.81/x
  3. Step 3: Cross multiply
    8,503.16x = 11,735.99 × 5,819.81
  4. Step 4: Simplify right side
    8,503.16x = 68,301,248.53
  5. Step 5: Solve for x
    x = 68,301,248.53/8,503.16
  6. Step 6: Final answer
    x = 8,032.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.