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Finding the Fourth Proportional to 7,685.02, 11,529.38 and 2,686.64

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Solution

The fourth proportional to 7,685.02, 11,529.38 and 2,686.64 is: 4,030.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.02 : 11,529.38 = 2,686.64 : x
  2. Step 2: Convert to fraction form
    7,685.02/11,529.38 = 2,686.64/x
  3. Step 3: Cross multiply
    7,685.02x = 11,529.38 × 2,686.64
  4. Step 4: Simplify right side
    7,685.02x = 30,975,329.02
  5. Step 5: Solve for x
    x = 30,975,329.02/7,685.02
  6. Step 6: Final answer
    x = 4,030.61

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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.