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Finding the Fourth Proportional to 27,187.36, 40,776.16 and 7,463.32

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Solution

The fourth proportional to 27,187.36, 40,776.16 and 7,463.32 is: 11,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,187.36 : 40,776.16 = 7,463.32 : x
  2. Step 2: Convert to fraction form
    27,187.36/40,776.16 = 7,463.32/x
  3. Step 3: Cross multiply
    27,187.36x = 40,776.16 × 7,463.32
  4. Step 4: Simplify right side
    27,187.36x = 304,325,530.45
  5. Step 5: Solve for x
    x = 304,325,530.45/27,187.36
  6. Step 6: Final answer
    x = 11,193.64

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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.