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Finding the Fourth Proportional to 12,776.30, 17,631.66 and 7,111.37

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Solution

The fourth proportional to 12,776.30, 17,631.66 and 7,111.37 is: 9,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.30 : 17,631.66 = 7,111.37 : x
  2. Step 2: Convert to fraction form
    12,776.30/17,631.66 = 7,111.37/x
  3. Step 3: Cross multiply
    12,776.30x = 17,631.66 × 7,111.37
  4. Step 4: Simplify right side
    12,776.30x = 125,385,169.82
  5. Step 5: Solve for x
    x = 125,385,169.82/12,776.30
  6. Step 6: Final answer
    x = 9,813.89

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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.