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Finding the Fourth Proportional to 7,707.92, 10,633.44 and 4,911.68

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Solution

The fourth proportional to 7,707.92, 10,633.44 and 4,911.68 is: 6,775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.92 : 10,633.44 = 4,911.68 : x
  2. Step 2: Convert to fraction form
    7,707.92/10,633.44 = 4,911.68/x
  3. Step 3: Cross multiply
    7,707.92x = 10,633.44 × 4,911.68
  4. Step 4: Simplify right side
    7,707.92x = 52,228,054.58
  5. Step 5: Solve for x
    x = 52,228,054.58/7,707.92
  6. Step 6: Final answer
    x = 6,775.89

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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.