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Finding the Fourth Proportional to 11,930.80, 16,464.72 and 7,214.08

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Solution

The fourth proportional to 11,930.80, 16,464.72 and 7,214.08 is: 9,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.80 : 16,464.72 = 7,214.08 : x
  2. Step 2: Convert to fraction form
    11,930.80/16,464.72 = 7,214.08/x
  3. Step 3: Cross multiply
    11,930.80x = 16,464.72 × 7,214.08
  4. Step 4: Simplify right side
    11,930.80x = 118,777,807.26
  5. Step 5: Solve for x
    x = 118,777,807.26/11,930.80
  6. Step 6: Final answer
    x = 9,955.56

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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.