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Finding the Fourth Proportional to 8,605.15, 11,876.45 and 4,829.84

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Solution

The fourth proportional to 8,605.15, 11,876.45 and 4,829.84 is: 6,665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.15 : 11,876.45 = 4,829.84 : x
  2. Step 2: Convert to fraction form
    8,605.15/11,876.45 = 4,829.84/x
  3. Step 3: Cross multiply
    8,605.15x = 11,876.45 × 4,829.84
  4. Step 4: Simplify right side
    8,605.15x = 57,361,358.81
  5. Step 5: Solve for x
    x = 57,361,358.81/8,605.15
  6. Step 6: Final answer
    x = 6,665.94

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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.