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Finding the Fourth Proportional to 11,623.80, 16,040.64 and 6,318.72

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Solution

The fourth proportional to 11,623.80, 16,040.64 and 6,318.72 is: 8,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.80 : 16,040.64 = 6,318.72 : x
  2. Step 2: Convert to fraction form
    11,623.80/16,040.64 = 6,318.72/x
  3. Step 3: Cross multiply
    11,623.80x = 16,040.64 × 6,318.72
  4. Step 4: Simplify right side
    11,623.80x = 101,356,312.78
  5. Step 5: Solve for x
    x = 101,356,312.78/11,623.80
  6. Step 6: Final answer
    x = 8,719.72

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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.