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Finding the Fourth Proportional to 11,930.70, 16,464.12 and 6,625.46

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Solution

The fourth proportional to 11,930.70, 16,464.12 and 6,625.46 is: 9,143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.70 : 16,464.12 = 6,625.46 : x
  2. Step 2: Convert to fraction form
    11,930.70/16,464.12 = 6,625.46/x
  3. Step 3: Cross multiply
    11,930.70x = 16,464.12 × 6,625.46
  4. Step 4: Simplify right side
    11,930.70x = 109,082,368.50
  5. Step 5: Solve for x
    x = 109,082,368.50/11,930.70
  6. Step 6: Final answer
    x = 9,143.00

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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.