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Finding the Fourth Proportional to 8,605.96, 11,876.94 and 4,829.08

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Solution

The fourth proportional to 8,605.96, 11,876.94 and 4,829.08 is: 6,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.96 : 11,876.94 = 4,829.08 : x
  2. Step 2: Convert to fraction form
    8,605.96/11,876.94 = 4,829.08/x
  3. Step 3: Cross multiply
    8,605.96x = 11,876.94 × 4,829.08
  4. Step 4: Simplify right side
    8,605.96x = 57,354,693.42
  5. Step 5: Solve for x
    x = 57,354,693.42/8,605.96
  6. Step 6: Final answer
    x = 6,664.53

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