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Finding the Fourth Proportional to 7,966.09, 10,992 and 4,608.24

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Solution

The fourth proportional to 7,966.09, 10,992 and 4,608.24 is: 6,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.09 : 10,992 = 4,608.24 : x
  2. Step 2: Convert to fraction form
    7,966.09/10,992 = 4,608.24/x
  3. Step 3: Cross multiply
    7,966.09x = 10,992 × 4,608.24
  4. Step 4: Simplify right side
    7,966.09x = 50,653,774.08
  5. Step 5: Solve for x
    x = 50,653,774.08/7,966.09
  6. Step 6: Final answer
    x = 6,358.67

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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.