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Finding the Fourth Proportional to 8,496.34, 11,724.78 and 4,719.76

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Solution

The fourth proportional to 8,496.34, 11,724.78 and 4,719.76 is: 6,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.34 : 11,724.78 = 4,719.76 : x
  2. Step 2: Convert to fraction form
    8,496.34/11,724.78 = 4,719.76/x
  3. Step 3: Cross multiply
    8,496.34x = 11,724.78 × 4,719.76
  4. Step 4: Simplify right side
    8,496.34x = 55,338,147.65
  5. Step 5: Solve for x
    x = 55,338,147.65/8,496.34
  6. Step 6: Final answer
    x = 6,513.17

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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.