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Finding the Fourth Proportional to 10,464.57, 15,676.29 and 6,072.84

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Solution

The fourth proportional to 10,464.57, 15,676.29 and 6,072.84 is: 9,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.57 : 15,676.29 = 6,072.84 : x
  2. Step 2: Convert to fraction form
    10,464.57/15,676.29 = 6,072.84/x
  3. Step 3: Cross multiply
    10,464.57x = 15,676.29 × 6,072.84
  4. Step 4: Simplify right side
    10,464.57x = 95,199,600.96
  5. Step 5: Solve for x
    x = 95,199,600.96/10,464.57
  6. Step 6: Final answer
    x = 9,097.33

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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.