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Finding the Fourth Proportional to 10,930.77, 16,395.03 and 4,689.63

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Solution

The fourth proportional to 10,930.77, 16,395.03 and 4,689.63 is: 7,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.77 : 16,395.03 = 4,689.63 : x
  2. Step 2: Convert to fraction form
    10,930.77/16,395.03 = 4,689.63/x
  3. Step 3: Cross multiply
    10,930.77x = 16,395.03 × 4,689.63
  4. Step 4: Simplify right side
    10,930.77x = 76,886,624.54
  5. Step 5: Solve for x
    x = 76,886,624.54/10,930.77
  6. Step 6: Final answer
    x = 7,033.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.