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Finding the Fourth Proportional to 7,688.81, 11,530.69 and 3,007.62

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Solution

The fourth proportional to 7,688.81, 11,530.69 and 3,007.62 is: 4,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.81 : 11,530.69 = 3,007.62 : x
  2. Step 2: Convert to fraction form
    7,688.81/11,530.69 = 3,007.62/x
  3. Step 3: Cross multiply
    7,688.81x = 11,530.69 × 3,007.62
  4. Step 4: Simplify right side
    7,688.81x = 34,679,933.86
  5. Step 5: Solve for x
    x = 34,679,933.86/7,688.81
  6. Step 6: Final answer
    x = 4,510.44

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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.