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Finding the Fourth Proportional to 7,685.38, 11,528.27 and 3,068.38

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Solution

The fourth proportional to 7,685.38, 11,528.27 and 3,068.38 is: 4,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.38 : 11,528.27 = 3,068.38 : x
  2. Step 2: Convert to fraction form
    7,685.38/11,528.27 = 3,068.38/x
  3. Step 3: Cross multiply
    7,685.38x = 11,528.27 × 3,068.38
  4. Step 4: Simplify right side
    7,685.38x = 35,373,040.12
  5. Step 5: Solve for x
    x = 35,373,040.12/7,685.38
  6. Step 6: Final answer
    x = 4,602.64

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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.