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Finding the Fourth Proportional to 11,854.96, 16,358.76 and 6,820.81

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Solution

The fourth proportional to 11,854.96, 16,358.76 and 6,820.81 is: 9,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.96 : 16,358.76 = 6,820.81 : x
  2. Step 2: Convert to fraction form
    11,854.96/16,358.76 = 6,820.81/x
  3. Step 3: Cross multiply
    11,854.96x = 16,358.76 × 6,820.81
  4. Step 4: Simplify right side
    11,854.96x = 111,579,952.90
  5. Step 5: Solve for x
    x = 111,579,952.90/11,854.96
  6. Step 6: Final answer
    x = 9,412.09

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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.