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Finding the Fourth Proportional to 7,687.77, 10,609.92 and 4,705.59

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Solution

The fourth proportional to 7,687.77, 10,609.92 and 4,705.59 is: 6,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.77 : 10,609.92 = 4,705.59 : x
  2. Step 2: Convert to fraction form
    7,687.77/10,609.92 = 4,705.59/x
  3. Step 3: Cross multiply
    7,687.77x = 10,609.92 × 4,705.59
  4. Step 4: Simplify right side
    7,687.77x = 49,925,933.45
  5. Step 5: Solve for x
    x = 49,925,933.45/7,687.77
  6. Step 6: Final answer
    x = 6,494.20

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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.