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Finding the Fourth Proportional to 7,735.92, 11,590.92 and 4,262.64

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Solution

The fourth proportional to 7,735.92, 11,590.92 and 4,262.64 is: 6,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.92 : 11,590.92 = 4,262.64 : x
  2. Step 2: Convert to fraction form
    7,735.92/11,590.92 = 4,262.64/x
  3. Step 3: Cross multiply
    7,735.92x = 11,590.92 × 4,262.64
  4. Step 4: Simplify right side
    7,735.92x = 49,407,919.23
  5. Step 5: Solve for x
    x = 49,407,919.23/7,735.92
  6. Step 6: Final answer
    x = 6,386.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.