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Finding the Fourth Proportional to 7,679.81, 10,599.58 and 4,809.86

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Solution

The fourth proportional to 7,679.81, 10,599.58 and 4,809.86 is: 6,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.81 : 10,599.58 = 4,809.86 : x
  2. Step 2: Convert to fraction form
    7,679.81/10,599.58 = 4,809.86/x
  3. Step 3: Cross multiply
    7,679.81x = 10,599.58 × 4,809.86
  4. Step 4: Simplify right side
    7,679.81x = 50,982,495.86
  5. Step 5: Solve for x
    x = 50,982,495.86/7,679.81
  6. Step 6: Final answer
    x = 6,638.51

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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.