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Finding the Fourth Proportional to 10,048.10, 15,063.66 and 6,144.32

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Solution

The fourth proportional to 10,048.10, 15,063.66 and 6,144.32 is: 9,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.10 : 15,063.66 = 6,144.32 : x
  2. Step 2: Convert to fraction form
    10,048.10/15,063.66 = 6,144.32/x
  3. Step 3: Cross multiply
    10,048.10x = 15,063.66 × 6,144.32
  4. Step 4: Simplify right side
    10,048.10x = 92,555,947.41
  5. Step 5: Solve for x
    x = 92,555,947.41/10,048.10
  6. Step 6: Final answer
    x = 9,211.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.