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Finding the Fourth Proportional to 11,624.13, 16,041.24 and 6,318.95

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Solution

The fourth proportional to 11,624.13, 16,041.24 and 6,318.95 is: 8,720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.13 : 16,041.24 = 6,318.95 : x
  2. Step 2: Convert to fraction form
    11,624.13/16,041.24 = 6,318.95/x
  3. Step 3: Cross multiply
    11,624.13x = 16,041.24 × 6,318.95
  4. Step 4: Simplify right side
    11,624.13x = 101,363,713.29
  5. Step 5: Solve for x
    x = 101,363,713.29/11,624.13
  6. Step 6: Final answer
    x = 8,720.11

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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.