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Finding the Fourth Proportional to 10,453.62, 15,676.01 and 4,211.96

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Solution

The fourth proportional to 10,453.62, 15,676.01 and 4,211.96 is: 6,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.62 : 15,676.01 = 4,211.96 : x
  2. Step 2: Convert to fraction form
    10,453.62/15,676.01 = 4,211.96/x
  3. Step 3: Cross multiply
    10,453.62x = 15,676.01 × 4,211.96
  4. Step 4: Simplify right side
    10,453.62x = 66,026,718.01
  5. Step 5: Solve for x
    x = 66,026,718.01/10,453.62
  6. Step 6: Final answer
    x = 6,316.16

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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.