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Finding the Fourth Proportional to 11,379.84, 15,705.46 and 6,344.52

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Solution

The fourth proportional to 11,379.84, 15,705.46 and 6,344.52 is: 8,756.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.84 : 15,705.46 = 6,344.52 : x
  2. Step 2: Convert to fraction form
    11,379.84/15,705.46 = 6,344.52/x
  3. Step 3: Cross multiply
    11,379.84x = 15,705.46 × 6,344.52
  4. Step 4: Simplify right side
    11,379.84x = 99,643,605.08
  5. Step 5: Solve for x
    x = 99,643,605.08/11,379.84
  6. Step 6: Final answer
    x = 8,756.15

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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.