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Finding the Fourth Proportional to 7,687.45, 10,609.68 and 4,330.91

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Solution

The fourth proportional to 7,687.45, 10,609.68 and 4,330.91 is: 5,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.45 : 10,609.68 = 4,330.91 : x
  2. Step 2: Convert to fraction form
    7,687.45/10,609.68 = 4,330.91/x
  3. Step 3: Cross multiply
    7,687.45x = 10,609.68 × 4,330.91
  4. Step 4: Simplify right side
    7,687.45x = 45,949,569.21
  5. Step 5: Solve for x
    x = 45,949,569.21/7,687.45
  6. Step 6: Final answer
    x = 5,977.22

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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.