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Finding the Fourth Proportional to 7,693.65, 10,621.94 and 5,007.42

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Solution

The fourth proportional to 7,693.65, 10,621.94 and 5,007.42 is: 6,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.65 : 10,621.94 = 5,007.42 : x
  2. Step 2: Convert to fraction form
    7,693.65/10,621.94 = 5,007.42/x
  3. Step 3: Cross multiply
    7,693.65x = 10,621.94 × 5,007.42
  4. Step 4: Simplify right side
    7,693.65x = 53,188,489.76
  5. Step 5: Solve for x
    x = 53,188,489.76/7,693.65
  6. Step 6: Final answer
    x = 6,913.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.