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Finding the Fourth Proportional to 11,333.50, 15,641.19 and 6,366.46

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Solution

The fourth proportional to 11,333.50, 15,641.19 and 6,366.46 is: 8,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.50 : 15,641.19 = 6,366.46 : x
  2. Step 2: Convert to fraction form
    11,333.50/15,641.19 = 6,366.46/x
  3. Step 3: Cross multiply
    11,333.50x = 15,641.19 × 6,366.46
  4. Step 4: Simplify right side
    11,333.50x = 99,579,010.49
  5. Step 5: Solve for x
    x = 99,579,010.49/11,333.50
  6. Step 6: Final answer
    x = 8,786.25

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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.