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Finding the Fourth Proportional to 11,616.34, 16,030.70 and 6,311.24

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Solution

The fourth proportional to 11,616.34, 16,030.70 and 6,311.24 is: 8,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.34 : 16,030.70 = 6,311.24 : x
  2. Step 2: Convert to fraction form
    11,616.34/16,030.70 = 6,311.24/x
  3. Step 3: Cross multiply
    11,616.34x = 16,030.70 × 6,311.24
  4. Step 4: Simplify right side
    11,616.34x = 101,173,595.07
  5. Step 5: Solve for x
    x = 101,173,595.07/11,616.34
  6. Step 6: Final answer
    x = 8,709.59

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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.