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Finding the Fourth Proportional to 11,624.30, 16,041.81 and 6,319.20

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Solution

The fourth proportional to 11,624.30, 16,041.81 and 6,319.20 is: 8,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.30 : 16,041.81 = 6,319.20 : x
  2. Step 2: Convert to fraction form
    11,624.30/16,041.81 = 6,319.20/x
  3. Step 3: Cross multiply
    11,624.30x = 16,041.81 × 6,319.20
  4. Step 4: Simplify right side
    11,624.30x = 101,371,405.75
  5. Step 5: Solve for x
    x = 101,371,405.75/11,624.30
  6. Step 6: Final answer
    x = 8,720.65

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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.