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Finding the Fourth Proportional to 8,210.14, 11,330.05 and 4,673.57

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Solution

The fourth proportional to 8,210.14, 11,330.05 and 4,673.57 is: 6,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.14 : 11,330.05 = 4,673.57 : x
  2. Step 2: Convert to fraction form
    8,210.14/11,330.05 = 4,673.57/x
  3. Step 3: Cross multiply
    8,210.14x = 11,330.05 × 4,673.57
  4. Step 4: Simplify right side
    8,210.14x = 52,951,781.78
  5. Step 5: Solve for x
    x = 52,951,781.78/8,210.14
  6. Step 6: Final answer
    x = 6,449.56

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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.