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Finding the Fourth Proportional to 6,452.96, 9,666.60 and 5,059.76

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Solution

The fourth proportional to 6,452.96, 9,666.60 and 5,059.76 is: 7,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.96 : 9,666.60 = 5,059.76 : x
  2. Step 2: Convert to fraction form
    6,452.96/9,666.60 = 5,059.76/x
  3. Step 3: Cross multiply
    6,452.96x = 9,666.60 × 5,059.76
  4. Step 4: Simplify right side
    6,452.96x = 48,910,676.02
  5. Step 5: Solve for x
    x = 48,910,676.02/6,452.96
  6. Step 6: Final answer
    x = 7,579.57

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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.