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Finding the Fourth Proportional to 7,676.57, 10,590.63 and 5,664.86

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Solution

The fourth proportional to 7,676.57, 10,590.63 and 5,664.86 is: 7,815.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.57 : 10,590.63 = 5,664.86 : x
  2. Step 2: Convert to fraction form
    7,676.57/10,590.63 = 5,664.86/x
  3. Step 3: Cross multiply
    7,676.57x = 10,590.63 × 5,664.86
  4. Step 4: Simplify right side
    7,676.57x = 59,994,383.31
  5. Step 5: Solve for x
    x = 59,994,383.31/7,676.57
  6. Step 6: Final answer
    x = 7,815.26

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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.