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Finding the Fourth Proportional to 10,450.46, 15,676.06 and 3,430.64

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Solution

The fourth proportional to 10,450.46, 15,676.06 and 3,430.64 is: 5,146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.46 : 15,676.06 = 3,430.64 : x
  2. Step 2: Convert to fraction form
    10,450.46/15,676.06 = 3,430.64/x
  3. Step 3: Cross multiply
    10,450.46x = 15,676.06 × 3,430.64
  4. Step 4: Simplify right side
    10,450.46x = 53,778,918.48
  5. Step 5: Solve for x
    x = 53,778,918.48/10,450.46
  6. Step 6: Final answer
    x = 5,146.08

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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.