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Finding the Fourth Proportional to 8,402.06, 11,594.85 and 4,676.94

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Solution

The fourth proportional to 8,402.06, 11,594.85 and 4,676.94 is: 6,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.06 : 11,594.85 = 4,676.94 : x
  2. Step 2: Convert to fraction form
    8,402.06/11,594.85 = 4,676.94/x
  3. Step 3: Cross multiply
    8,402.06x = 11,594.85 × 4,676.94
  4. Step 4: Simplify right side
    8,402.06x = 54,228,429.21
  5. Step 5: Solve for x
    x = 54,228,429.21/8,402.06
  6. Step 6: Final answer
    x = 6,454.18

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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.