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Finding the Fourth Proportional to 11,776.02, 16,251.48 and 7,302.12

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Solution

The fourth proportional to 11,776.02, 16,251.48 and 7,302.12 is: 10,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.02 : 16,251.48 = 7,302.12 : x
  2. Step 2: Convert to fraction form
    11,776.02/16,251.48 = 7,302.12/x
  3. Step 3: Cross multiply
    11,776.02x = 16,251.48 × 7,302.12
  4. Step 4: Simplify right side
    11,776.02x = 118,670,257.14
  5. Step 5: Solve for x
    x = 118,670,257.14/11,776.02
  6. Step 6: Final answer
    x = 10,077.28

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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.