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Finding the Fourth Proportional to 7,693.68, 10,623.48 and 6,277.56

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Solution

The fourth proportional to 7,693.68, 10,623.48 and 6,277.56 is: 8,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.68 : 10,623.48 = 6,277.56 : x
  2. Step 2: Convert to fraction form
    7,693.68/10,623.48 = 6,277.56/x
  3. Step 3: Cross multiply
    7,693.68x = 10,623.48 × 6,277.56
  4. Step 4: Simplify right side
    7,693.68x = 66,689,533.11
  5. Step 5: Solve for x
    x = 66,689,533.11/7,693.68
  6. Step 6: Final answer
    x = 8,668.09

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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.