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Finding the Fourth Proportional to 7,686.15, 11,528.65 and 3,005.29

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Solution

The fourth proportional to 7,686.15, 11,528.65 and 3,005.29 is: 4,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.15 : 11,528.65 = 3,005.29 : x
  2. Step 2: Convert to fraction form
    7,686.15/11,528.65 = 3,005.29/x
  3. Step 3: Cross multiply
    7,686.15x = 11,528.65 × 3,005.29
  4. Step 4: Simplify right side
    7,686.15x = 34,646,936.56
  5. Step 5: Solve for x
    x = 34,646,936.56/7,686.15
  6. Step 6: Final answer
    x = 4,507.71

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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.