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Finding the Fourth Proportional to 7,686.89, 11,530.57 and 3,006.71

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Solution

The fourth proportional to 7,686.89, 11,530.57 and 3,006.71 is: 4,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.89 : 11,530.57 = 3,006.71 : x
  2. Step 2: Convert to fraction form
    7,686.89/11,530.57 = 3,006.71/x
  3. Step 3: Cross multiply
    7,686.89x = 11,530.57 × 3,006.71
  4. Step 4: Simplify right side
    7,686.89x = 34,669,080.12
  5. Step 5: Solve for x
    x = 34,669,080.12/7,686.89
  6. Step 6: Final answer
    x = 4,510.16

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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.